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On σ-Solubility Criteria for Finite Groups: 《Communications in Mathematics and Statistics》2024年第3期563-571,共9页A.Ballester-Bolinches S.F.Kamornikov V.Pérez-Calabuig V.N.Tyutyanov; supported by the Grant PGC2018-095140-B-I00,funded by MCIN/AEI/10.13039/501100011033;supported by Grant PROMETEO/2017/057 funded by GVA/10.13039/501100003359;supported by Ministry of Education of the Republic of Belarus(Grant 20211779“Convergence-2025”);supported by the Belarusian Republican Foundation for Fundamental Research(Grant F20R-291).; In this paper,the structure of finite groups in whichmaximal subgroups of some Sylow subgroups have aσ-soluble orσ-nilpotent supplement,whereσis a partition of the set of all prime numbers,is investigated.Some solu...; 关键词：Finite group Supplementation σ-Solubility σ-Nilpotency

Finite Groups with p-Supersolvable Normalizers of p-Subgroups被引量：2: 《Journal of Mathematical Research with Applications》2022年第5期476-480,共5页Tingting QIU Jinlian WU Jia ZHANG; Supported by the National Natural Science Foundation of China(Grant No.12001436);the Natural Science Foundation of Sichuan Province(Grant No.2022NSFSC1843);Chunhui Plan Cooperative Scientific Research Project of Ministry of Education of the People’s Republic of China;the Fundamental Research Funds of China West Normal University(Grant Nos.17E091;18B032);。; 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...; 关键词：NORMALIZER weakly M-supplemented subgroup p-supersolvability p-nilpotency

On f-Hypercentral Actions of Finite Group: 《Communications in Mathematics and Statistics》2021年第4期521-533,共13页Baojun Li Lu Gong; Let f be a formation function and G an A-group.It is said that A acts f-hypercentrally on G if A acts f-centrally on every A-composition factor of G.In this paper,groups are investigated by f-hypercentral actions.In p...; 关键词：Finite group FORMATION f-hypercentral action NILPOTENCY

Engel Condition and p-nilpotency of Finite Groups: 《Acta Mathematica Sinica,English Series》2021年第9期1465-1470,共6页Lei WANG Zheng Tian QIU Shou Hong QIAO; the support from NSF of China(Grant No.12061083);EDF of Yunnan Province(Grant No.2019J0026);NSF of Yunnan Province(Grant No.202101AT070023);the support from NSF of China(Grants Nos.12071093,12026212);NSF of Guangdong Province(Grant No.2021A1515010217)。; Let G be a finite group,and let P be a Sylow p-subgroup of G.Under the hypothesis that NG(P)is p-nilpotent,we provide some conditions to give a p-nilpotency criterion of finite groups by Engel condition,which improves...; 关键词：Finite group p-nilpotency Engel condition p-nilpotent residual

Some Generalized Normal Subgroups and p-nilpotency of Finite Groups被引量：1: 《Chinese Quarterly Journal of Mathematics》2018年第1期17-24,共8页ZHONG Guo LIN Shi-Xun CHEN Qi-le QIN Li-hua; Supported by SRFPYED(2017ZDX041)and SRFPYED(2016ZDX151); 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

On Local Nilpotency of the Normal Subgroups of a Group: 《Algebra Colloquium》2016年第3期531-540,共10页Zhirang Zhang Jiachao Li; Project supported by the National Natural Science Foundation of China （Nos. 11371335, 11471055）.; A group G is said to have property μ whenever N is a non-locally nitpotent normal subgroup of G, there is a finite non-nilpotent G-quotient of N. FC-groups and groups with property v satisfy property μ, where a grou...; 关键词：normal subgroups nilpotent groups locally nilpotent groups Frattini sub-group Hirsch-Plotkin radical

ON REDUCIBILITY OF THE SELF-HOMOTOPY EQUIVALENCES OF WEDGE SPACES被引量：2: 《Acta Mathematica Scientia》2012年第2期813-817,共5页俞海波沈文淮; Reducibility of the self-homotopy equivalences of wedge spaces is studied and some conditions implying the reducibility are obtained.; 关键词：Self-homotopy equivalence REDUCIBILITY NILPOTENCY homologically distant

A counter example for nilpotent groups: 《Science China Mathematics》2010年第11期3041-3048,共8页LIU HeGuo1, ZHANG JiPing2 & LIAO Jun2 1Department of Mathematics, Hubei University, Wuhan 430062, China 2School of Mathematical Sciences, Peking University, Beijing 100871, China; supported by National Basic Research Program of China (Grant No. 2006CB805904);National Natural Science Foundation of China (Grant Nos. 10631010 and 10971054);Doctoral Foundation of Ministry of Education; Let R be a ring with 1, I be a nilpotent subring of R (there exists a natural number n, such that In = 0), and I be generated by {xj |j ∈ J} as ring. Write U = 1 + I, and it is a nilpotent group with class ≤ n - 1. ...; 关键词：NILPOTENCY class NILPOTENT group NILPOTENT RING LIE RING

s-Conditionally Permutable Subgroups and p-Nilpotency of Finite Groups: 《Journal of Southwest Jiaotong University(English Edition)》2010年第2期177-181,共5页刘熠秦亚; The Scientific Research Foundation of Sichuan Provincial Education Department of China(No.08zb082); A subgroup H of G is called s-conditionally permutable in G if for every Sylow subgroup T of G, there exists an element x ∈ G such that HTK = T^KH. In this paper, we investigate further the influence of s-conditional...; 关键词：s-Conditionally permutable subgroup 2-Maximal subgroup p-Nilpotent group

The Classification of Filiform Leibniz Superalgebras of Nilindex n+m被引量：1: 《Acta Mathematica Sinica,English Series》2009年第2期171-190,共20页Sh.A.AYUPOV B.A.OMIROV A.Kh.KHUDOYBERDIYEV; Supported by INTAS Ref.Nr 04-83-3035;DFG 436USB113/10/01 project (Germany); In this work the classification of filiform Leibniz superalgebras of nilindex n ＋ m, where n and m （m≠0） are dimensions of even and odd parts, respectively, is obtained.; 关键词：Lie superalgebras Leibniz superalgebras NILPOTENCY characteristic sequence

NILPOTENCY