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Local Characterizations of Results on the Normal Index of Subgroups in Finite Groups 认领 引用
1
作者 Yubo LV Yangming LI Xiaoxia DONG 《Journal of Mathematical Research with Applications》 CSCD 2026年第1期33-39,共7页
Let G be a finite group and H a subgroup of G.The normal index of H in G is defined as the order of K/HG,where K is a normal supplement of H in G such that|K|is minimal and HG≤K■G.Let p be a prime which divide... Let G be a finite group and H a subgroup of G.The normal index of H in G is defined as the order of K/HG,where K is a normal supplement of H in G such that|K|is minimal and HG≤K■G.Let p be a prime which divides the order of a group G.In this paper,some characterizations of G being p-solvable or p-supersolvable were obtained by analyzing the normal index of certain subgroups of G.These results can be viewed as local version of recent results in the literature. 展开更多
关键词 p-solvable group p-supersolvable group normal index maximal subgroup 2-maximal subgroup
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Finite Group with Two Supersolvable Subgroups of Coprime Indices 认领 引用 被引量：2
2
作者 王坤仁 《Northeastern Mathematical Journal》 2001年第2期221-225,共5页
In this paper, we obtain some classification theorems of finite simple groups with two subgroups of coprime indices which are both supersolvable or one supersolvable and the other nilpotent. Using these classification... In this paper, we obtain some classification theorems of finite simple groups with two subgroups of coprime indices which are both supersolvable or one supersolvable and the other nilpotent. Using these classification theorems, we prove some sufficient conditions of finite solvable groups. Finally, we provide a supplement of Doerks Theorem. 展开更多
关键词 solvable group supersolvable group simple group index
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Finite Groups with p-Supersolvable Normalizers of p-Subgroups 认领 引用 被引量：7
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作者 Tingting QIU Jinlian WU Jia ZHANG 《Journal of Mathematical Research with Applications》 CSCD 2022年第5期476-480,共5页
In the literature, p-nilpotency of the normalizers of p-subgroups has an important influence on finite p-nilpotent groups. In this paper, we extend the p-nilpotency to psupersolvability and choose every normal p-subgr... In the literature, p-nilpotency of the normalizers of p-subgroups has an important influence on finite p-nilpotent groups. In this paper, we extend the p-nilpotency to psupersolvability and choose every normal p-subgroups H of P such that |H| = pdand explore p-supersolvability of G by the conditions of weakly M-supplemented properties of H and psupersolvability of the normalizer NG(H), where 1 ≤ pd<|P |. Also, we study the p-nilpotency of G under the assumptions that NG(P) is p-nilpotent and the weakly M-supplemented condition on a subgroup K such that Kp■K and P′≤ Kp ≤ Φ(P), Kp is a Sylow p-subgroup K. To some extent, our main results can be regarded as generalizations of the Frobenius theorem. 展开更多
关键词 normalizer weakly M-supplemented subgroup p-supersolvability p-nilpotency
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Two Classes of Solvable Subgroups of SL(3, C) and Application for Differential Equations in C 认领 引用 被引量：1
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作者 ZHANG Shao-fei LI Hui-zhen 《Chinese Quarterly Journal of Mathematics》 2010年第1期30-36,共7页
Structures of two classes of solvable subgroups in SL（3, C） are given in this paper, and the integrability of the 3-order Fuchsian equation which is integrable in the sense that its monodromy group is solvable is di... Structures of two classes of solvable subgroups in SL（3, C） are given in this paper, and the integrability of the 3-order Fuchsian equation which is integrable in the sense that its monodromy group is solvable is discussed. 展开更多
关键词 Fuehsian system solvable group general linear group special linear group monodromy group integrability
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TI-subgroups and P-subnormal subgroups and the structure of nite groups 认领 引用
5
作者 CHEN Ruifang ZHAO Xianhe 《纯粹数学与应用数学》 2026年第1期33-45,共13页
Let G be a group and H;K be subgroups of G.H is called a TI-subgroup of G if H∩Hg=1 or H for every g∈G.K is called P-subnormal in G if there is a chain of subgroups K=K0≤K1≤K2≤…≤Kn-1≤Kn=G suc... Let G be a group and H;K be subgroups of G.H is called a TI-subgroup of G if H∩Hg=1 or H for every g∈G.K is called P-subnormal in G if there is a chain of subgroups K=K0≤K1≤K2≤…≤Kn-1≤Kn=G such that|Ki:Ki-1|∈P for i∈{1;2;…;n}.Furthermore,K is called K-P-subnormal in G if there is a chain of subgroups K=K0≤K1≤K2≤…≤Kn-1≤Kn=G such that either Ki-1is normal in Ki or|Ki:Ki-1|∈P for i∈{1;2;…;n}.In this paper,some properties of a nite group in which some particular subgroups are TI-subgroups or P-subnormal subgroups or K-P-subnormal subgroups are given. 展开更多
关键词 TI-subgroup P-subnormal subgroup K-P-subnormal subgroup soluble group
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LOCAL SS-QUASINORMALITY OF SOME SUBGROUPS OF FINITE GROUPS 认领 引用
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作者 WEI Hua-quan WU Hui HE Jia-wen 《数学杂志》 2026年第2期63-74,共12页
This paper investigates the in uence of local SS-quasinormal maximal subgroups of Sylow subgroups on the structure of nite groups.We present several new criteria on p-nilpotency of nite groups by utilizing a small qua... This paper investigates the in uence of local SS-quasinormal maximal subgroups of Sylow subgroups on the structure of nite groups.We present several new criteria on p-nilpotency of nite groups by utilizing a small quantity of local SS-quasinormal maximal subgroups of Sylow p-subgroups.As applications,we obtain some sucient conditions for a nite group to be in a saturated formation containing the class of supersolvable groups. 展开更多
关键词 nite group maximal subgroup p-nilpotent group SS-quasinormal group
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Genomic and pathogenic features of a novel subgroup 1-like PRRSV-1 strain XJEU2308 linked to reproductive failure in a swine herd in Xinjiang,China 认领 引用
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作者 Guishan Ye Chaohui Song +6 位作者 Heng Xu Siyu Xiong Weiwei Liu Yue Wu Kuijing He Pei Zheng Anding Zhang 《Animal Diseases》 CAS CSCD 2026年第1期30-36,共7页
Porcine reproductive and respiratory syndrome virus 1(PRRSV-1)has emerged as a critical pathogen that threatens swine herds across China.In this study,a novel PRRSV-1 strain,designated XJEU2308,was isolated from a PRR... Porcine reproductive and respiratory syndrome virus 1(PRRSV-1)has emerged as a critical pathogen that threatens swine herds across China.In this study,a novel PRRSV-1 strain,designated XJEU2308,was isolated from a PRRSV outbreak in a previously confirmed PRRSV-negative(both RNA and antibody negative)swine herd in Xinjiang,China.During the outbreak surveillance period,production records revealed a mean stillbirth rate of 12.19%and a suckling piglet mortality rate of 56.07%.Phylogenetic analysis on the basis of the ORF5 gene classified XJEU2308 as a BJEU06-1-like strain,whereas whole-genome analysis clustered it within the newly identified"New subgroup 1"of Chinese PRRSV-1.Notably,this strain carried a unique 3-amino acid deletion(at positions 693-695)in nonstructural protein 2(NSP2).In challenge experiments,XJEU2308 induced typical clinical symptoms and exhibited moderate pathogenic-ity.Importantly,the implementation of the load-close-exposure(LCE)strategy combined with field virus(FLV)expo-sure successfully restored the herd to a provisional PRRSV-negative status.Overall,this study isolated a new subgroup 1-like PRRSV-1 strain from a swine farm that experienced a reproductive failure outbreak;the strain is characterized by a unique 3-amino-acid deletion in the NSP2 gene and moderate pathogenicity.Additionally,this study validated the effectiveness of the LCE-FLV strategy for containing PRRSV-1. 展开更多
关键词 PRRSV-1 New subgroup 1 Genomic Pathogenic LCE strategy
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Development and characterization of neutralizing monoclonal antibodies against clinically relevant human adenovirus subgroup B serotypes 认领 引用
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作者 Yuelin Wang Wei Dou +11 位作者 Yingying Chen Ke Liu Mengjun Li Tyuji Hoshino Yushan Jiang Vladislav Victorovich Khrustalev Alexey V.Churov Alexander N.Orekhov Wei Zhao Ling Li Yang Yang Chenguang Shen 《Virologica Sinica》 SCIE CAS CSCD 2026年第2期404-412,共9页
Human adenoviruses(HAdVs),particularly subgroup B serotypes HAdV-3 and HAdV-55,are associated with severe respiratory disease and currently lack targeted therapies.While neutralizing monoclonal antibodies(nMAbs)offer ... Human adenoviruses(HAdVs),particularly subgroup B serotypes HAdV-3 and HAdV-55,are associated with severe respiratory disease and currently lack targeted therapies.While neutralizing monoclonal antibodies(nMAbs)offer promising therapeutic potential,the specific nMAbs targeting these serotypes remain poorly characterized.Therefore,this study aimed to generate and evaluate the efficacy of serotype-specific nMAbs against HAdV-3 and HAdV-55.Mice were immunized with HAdV-3 virions,HAdV-55 virions,or recombinant fiber knob proteins(HAdV-55/-7)for the generation of serotype-specific nMAbs,and their efficacy was systematically evaluated using in vitro assays and an in vivo tree shrew model.Through comprehensive screening,eleven MAbs were identified with specificity against HAdV-3(six clones)or HAdV-55/-7 fiber knob(five clones).Four nMAbs exhibited potent neutralizing activity:13F12(half-maximal inhibitory concentration,IC50:3.8μg/mL),8D2(IC50:15.1μg/mL),3A3(IC50:14.9μg/mL)against HAdV-3 virions,and 8F2 with neutralizing efficacy against HAdV-55 virions(IC50:30.4μg/mL).Western blot analysis revealed that MAbs 13F12 and 8F2 targeted the fiber protein,whereas 8D2 and 3A3 bound to the hexon protein.Furthermore,in vivo evaluations demonstrated that 13F12 significantly reduced viral loads in nasal turbinates and attenuated lung pathology in HAdV-3-infected tree shrews.Mechanistically,all tested anti-HAdV-3 nMAbs inhibited infection by blocking viral attachment(P<0.01 vs.controls).In conclusion,this study underscores the therapeutic potential of targeting viral entry and highlights 13F12 as a promising candidate for HAdV prophylaxis. 展开更多
关键词 Human adenovirus(HAdV) Neutralizing antibody Monoclonal antibody Antiviral therapy Respiratory infection B subgroup serotypes
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On Finite Solvable Groups G with m(G)-d(G)=1 认领 引用
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作者 Hailin LIU Liping ZHONG +1 位作者 Shoushuang CHEN Yulong MA 《Journal of Mathematical Research with Applications》 CSCD 2025年第1期33-38,共6页
Let G be a finite group.A generating set X of G is said to be minimal if no proper subset of X generates G.Let d(G)and m(G)denote the smallest size and the largest size of a minimal generating set of G,respectively.In... Let G be a finite group.A generating set X of G is said to be minimal if no proper subset of X generates G.Let d(G)and m(G)denote the smallest size and the largest size of a minimal generating set of G,respectively.In this paper we present a characterization for finite solvable groups G such that m(G)-d(G)=1 and m(G)≥m(G/N)+m(N)for any non-trivial normal subgroup N of G. 展开更多
关键词 finite solvable group minimal generating set normal subgroup cyclic group
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Subgroup Analysis of a Single-Index Threshold Penalty Quantile Regression Model Based on Variable Selection 认领 引用 被引量：1
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作者 QI Hui XUE Yaxin 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2025年第2期169-183,共15页
In clinical research,subgroup analysis can help identify patient groups that respond better or worse to specific treatments,improve therapeutic effect and safety,and is of great significance in precision medicine.This... In clinical research,subgroup analysis can help identify patient groups that respond better or worse to specific treatments,improve therapeutic effect and safety,and is of great significance in precision medicine.This article considers subgroup analysis methods for longitudinal data containing multiple covariates and biomarkers.We divide subgroups based on whether a linear combination of these biomarkers exceeds a predetermined threshold,and assess the heterogeneity of treatment effects across subgroups using the interaction between subgroups and exposure variables.Quantile regression is used to better characterize the global distribution of the response variable and sparsity penalties are imposed to achieve variable selection of covariates and biomarkers.The effectiveness of our proposed methodology for both variable selection and parameter estimation is verified through random simulations.Finally,we demonstrate the application of this method by analyzing data from the PA.3 trial,further illustrating the practicality of the method proposed in this paper. 展开更多
关键词 longitudinal data subgroup analysis threshold model quantile regression variable selection
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The Influence of Second Maximal Subgroups on the Structure of Group Class Jpr 认领 引用
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作者 Lin YANG Wei LIU +1 位作者 Shuqin DONG Hongwei BAO 《Journal of Mathematical Research with Applications》 CSCD 2025年第5期629-636,共8页
In this paper,we introduce the set of maximal subgroups with non-trivial core and their corresponding second maximal subgroups.A correlation characterization of the group class Jpris presented by establishing the r... In this paper,we introduce the set of maximal subgroups with non-trivial core and their corresponding second maximal subgroups.A correlation characterization of the group class Jpris presented by establishing the relationship between the core and the second maximal subgroups in these classifications. 展开更多
关键词 maximal subgroups second maximal subgroups group class Jpr
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Finite Groups with Some Cp-Supplemented Subgroups 认领 引用 被引量：1
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作者 Yubo LV Yangming LI 《Journal of Mathematical Research with Applications》 CSCD 2023年第1期74-82,共9页
Let H be a subgroup of a finite group G and p a prime divisor dividing the order of G.We say H is cp-supplemented in G if there exists a supplement T to H in G containing HGsuch that H∩T/HGis a p’-group,where HGis t... Let H be a subgroup of a finite group G and p a prime divisor dividing the order of G.We say H is cp-supplemented in G if there exists a supplement T to H in G containing HGsuch that H∩T/HGis a p’-group,where HGis the core of H in G.A CSp-group is a group in which every p-subgroup is cp-supplemented.In this paper,we characterize the p-solvability and psupersolvability of groups G with some certain p-subgroups being cp-supplemented.Furthermore,we give some equivalent conditions of CSp-group in p-solvable universe.Finally,we give some criteria of CSp-groups for the direct product of two CSp-groups.Our results extend some recent conclusions. 展开更多
关键词 c-supplemented subgroup Cp-normal subgroup Cp-supplemented subgroup CSpgroup p-supersolvable group
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On σ-c-propermutable Subgroups of Finite Groups 认领 引用
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作者 MA Xiaojian MAO Yuemei 《数学进展》 CSCD 北大核心 2025年第3期509-517,共9页
Let G be a finite group.A subgroup H of G is said to be σ-c-propermutable in G if G has a subgroup B such that G=NG(H)B and for every Hall σi-subgroup Bi of B,there exists an element x∈B such that HBi^(... Let G be a finite group.A subgroup H of G is said to be σ-c-propermutable in G if G has a subgroup B such that G=NG(H)B and for every Hall σi-subgroup Bi of B,there exists an element x∈B such that HBix=Bix H.In this paper,the influence of σ-c-propermutable subgroups on the structure of finite groups is investigated,and some criteria for a normal subgroup of G to be hypercyclically embedded in G are derived. 展开更多
关键词 complete Hallσ-set σ-c-propermutable subgroup supersoluble group hypercyclically embedded
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FINITE GROUPS WHOSE MINIMAL SUBGROUPS ARE WEAKLY H-SUBGROUPS 认领 引用 被引量：2
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作者 M.M.Al-Mosa Al-Shomrani M.Ramadan A.A.Heliel 《Acta Mathematica Scientia》 SCIE CSCD 2012年第6期2295-2301,共7页
Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG（H）∩ H^g ≤ H for all g C G. A subgroup H of G is called a weakly H-subgroup in G if there exists a normal subgroup K of G such that G = ... Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG（H）∩ H^g ≤ H for all g C G. A subgroup H of G is called a weakly H-subgroup in G if there exists a normal subgroup K of G such that G = HK and H N K is an H-subgroup in G. In this paper, we investigate the structure of the finite group G under the assumption that every subgroup of G of prime order or of order 4 is a weakly H-subgroup in G. Our results improve and generalize several recent results in the literature. 展开更多
关键词 c-normal subgroup H-subgroup p-nilpotent group supersolvable group generalized Fitting subgroupi saturated formation
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On s*-Completions of Maximal Subgroups of Finite Groups 认领 引用 被引量：1
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作者 高辉 高胜哲 尹丽 《Chinese Quarterly Journal of Mathematics》 2015年第3期381-388,共8页
Given a maximal subgroup M of a group G, a θ*-completion C of M is called an s*-completion if either C = G or there exists a subgroup D of G which is not a θ*-completion of M such that D contains C as a maximal subg... Given a maximal subgroup M of a group G, a θ*-completion C of M is called an s*-completion if either C = G or there exists a subgroup D of G which is not a θ*-completion of M such that D contains C as a maximal subgroup. In this paper, we obtain several results on s*-completions which imply G to be solvable or supersolvable. 展开更多
关键词 maximal subgroups θ＊-completions s＊-completions solvable groups super-solvable groups
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On θ*-completions of F-abnormal Subgroups 认领 引用
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作者 高辉 高胜哲 尹丽 《Chinese Quarterly Journal of Mathematics》 2016年第4期406-411,共6页
Let F be a saturated formation of finite groups. Given a proper subgroup H of a group G, a subgroup H of G is called F-normal in G if G/HGbelongs to F; otherwise H is said to be F-abnormal in G. In this paper, we inve... Let F be a saturated formation of finite groups. Given a proper subgroup H of a group G, a subgroup H of G is called F-normal in G if G/HGbelongs to F; otherwise H is said to be F-abnormal in G. In this paper, we investigate the structure of a finite group by θ*-completions of F-abnormal subgroups. 展开更多
关键词 θ*-completions maximal subgroups 2-maximal subgroups F-abnormal subgroups
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HOM-STRUCTURES ON A CLASS OF SOLVABLE LIE ALGEBRAS WITH FILIFORM NILRADICAL 认领 引用
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作者 ZHANG Ju-shuang YUAN Ji-xia ZHANG Shuang 《数学杂志》 2025年第6期478-484,共7页
In this paper,we study the Hom-structures of a special class of solvable Lie algebras with naturally graded filiform nilradical nn,1.Over an algebraically closed field F of zero characteristic,we calculate the Hom-... In this paper,we study the Hom-structures of a special class of solvable Lie algebras with naturally graded filiform nilradical nn,1.Over an algebraically closed field F of zero characteristic,we calculate the Hom-structures of these solvable Lie algebras using the Hom-Jacobi identity,obtain the bases of these Hom-structures and observe that there are certain similarities among these bases. 展开更多
关键词 among these bases.solvable Lie algebras Hom-structures filiform nilradical
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Some Generalized Normal Subgroups and p-nilpotency of Finite Groups 认领 引用 被引量：1
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作者 ZHONG Guo LIN Shi-Xun +1 位作者 CHEN Qi-le QIN Li-hua 《Chinese Quarterly Journal of Mathematics》 2018年第1期17-24,共8页
In this paper, the influence of s-semipermutable, c~#-normal, subnormally embedded and ss-quasinormal subgroups on the p-nilpotency of finite groups is investigated and some recent results are generalized.
关键词 s-semipermutable subgroups c#-normal subgroups subnormally embedded subgroups ss-quasinormal subgroups p-nilpotency
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Some Sufficient Conditions on the Number of Non-abelian Subgroups of a Finite Group to be Solvable 认领 引用 被引量：4
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作者 Jiang Tao SHI Cui ZHANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第5期891-896,共6页
Thompson＇s theorem indicates that a finite group with a nilpotent maximal subgroup of odd order is solvable. As an important application of Thompson＇s theorem, a finite group is solvable if it has an abelian maximal... Thompson＇s theorem indicates that a finite group with a nilpotent maximal subgroup of odd order is solvable. As an important application of Thompson＇s theorem, a finite group is solvable if it has an abelian maximal subgroup. In this paper, we give some sufficient conditions on the number of non-abelian subgroups of a finite group to be solvable. 展开更多
关键词 Finite group abelian subgroup solvable group
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Maximal Subgroups in the Classical Groups Normalizing Solvable Subgroups 认领 引用
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作者 Xin Hou Shangzhi Li Yucheng Yang 《Algebra Colloquium》 SCIE CSCD 2021年第2期181-194,共14页
Let G be a classical group over an arbitrary field F,acting on an n-dimensional F-space V=V(n,F).All those maximal subgroups of G are classified each of which normalizes a solvable subgroup N of GL(V/F)not lying in F^... Let G be a classical group over an arbitrary field F,acting on an n-dimensional F-space V=V(n,F).All those maximal subgroups of G are classified each of which normalizes a solvable subgroup N of GL(V/F)not lying in F*1v. 展开更多
关键词 classical group over arbitrary field maximal subgroup solvable subgroup
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