FINITE_GROUPS

作品数：163被引量：161H指数：7
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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 
Second Maximal Invariant Subgroups and Solubility of Finite Groups
《Communications in Mathematics and Statistics》2024年第1期45-54,共10页Changguo Shao Antonio Beltrán 
Let G be a finite group and assume that a group of automorphisms A is acting on G such that A and G have coprime orders.We prove that the fact of imposing specific properties on the second maximal A-invariant subgroup...
关键词：Invariant subgroups Coprime action Second maximal subgroup Trivial intersection subgroup 
Finite Groups Isospectral to Simple Groups
《Communications in Mathematics and Statistics》2023年第2期169-194,共26页Maria A.Grechkoseeva Victor D.Mazurov Wujie Shi Andrey V.Vasil’ev Nanying Yang 
supported by Foreign Experts program in Jiangsu Province(No.JSB2018014);supported by the National Natural Science Foundation of China(No.12171126);supported by the RFBR(No.20-51-00007);supported by the National Natural Science Foundation of China(11171364,11671063).
The spectrum of a finite group is the set of element orders of this group.The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum,in particular,to list all finite si...
关键词：Finite group Simple group Element order SPECTRUM Recognition by spectrum 
On a Generalisation of Finite T-Groups
《Communications in Mathematics and Statistics》2022年第1期153-162,共10页Chi Zhang Wenbin Guo A-Ming Liu 
Letσ={σ_(i)|i∈I}be some partition of all primes P and G a finite group.A subgroup H of G is said to beσ-subnormal in G if there exists a subgroup chain H=H_(0)≤H_(1)≤・・・≤Hn=G such that either H_(i−1)is normal i...
关键词：Finite groups σ-groups Generalised T-groups σ-subnormal The condition R_(σi) 
Pronormality and Submaximal X-Subgroups on Finite Groups Dedicated to celebrate the Sixtieth anniversary of USTC
《Communications in Mathematics and Statistics》2018年第3期289-317,共29页Wenbin Guo Danila O.Revin 
supported by a NNSF Grant of China(Grant#11771409);Wu Wen-Tsun Key Laboratory of Mathematics of Chinese Academy of Sciences;by SB RAS Fundamental Research Program I.1.1(project#0314-2016-0001).
According to Hall,a subgroup H of a group G is said to be pronormal if H and H^(g) are conjugate infor every g∈G.In this survey,we discuss the role of pronormality for some subgroups of finite groups:Hall su...
关键词：Pronormal subgroup Hallπ-subgroup Submaximal X-subgroup Subgroup of odd index 
A Noteof CP_(2) Groups
《Communications in Mathematics and Statistics》2017年第4期447-451,共5页Wujie Shi Heng Lv 
supported by the Natural Science Foundation of China(Nos.11171364,11671063,11471266).
A new class CP_(2) groups of finite groups was characterized by using an inequality of the orders of elements.In this short paper we give a note of CP_(2) groups since CP_(2) groups is a subclass of CP(EPPO)groups.Mor...
关键词：Finite groups Element orders CP groups Frobenius groups·2-Frobenius groups 
Finite Groups with H-Permutable Subgroups被引量：2
《Communications in Mathematics and Statistics》2017年第1期83-92,共10页Wenbin Guo Chenchen Cao Alexander N.Skiba Darya A.Sinitsa 
a NNSF grant of China(Grant#11371335);Wu Wen-TsunKey Laboratory of Mathematics of Chinese Academy of Sciences.Research of the third author is supported by Chinese Academy of Sciences Visiting Professorship for Senior International Scientists(Grant No.2010T2J12).
Letσ={σi|i∈I}be some partition of the set P of all primes and G afinite group.A set H of subgroups of G is said to be a complete Hallσ-set of G ifevery member≠1 of H is a Hallσi-subgroup of G for some i c l and ...
关键词：Finite group Hall subgroup Complete Hallσ-set H-permutablesubgroup PST-group 
On m-Embedded Primary Subgroups of Finite Groups被引量：1
《Communications in Mathematics and Statistics》2016年第4期449-458,共10页Jia Zhang Long Miao Baojun Li 
NSFC(Grant#11271016)and NSFC(Grant#11471055)and Qing Lan project of Jiangsu Province and High-level personnel of support program of Yangzhou University and 333 high-level personnel training project in Jiangsu Province.
Suppose that A is a subgroup of a group G.A is called to be m-embeddedin G if G has a subnormal subgroup T and a{1
关键词：m-Embedded subgroup Sylow subgroup p-Supersolvability Generalized hypercentre 
On Boundary Factors and Traces of Subgroups of Finite Groups被引量：7
《Communications in Mathematics and Statistics》2014年第3期349-361,共13页W.Guo Alexander N.Skiba X.Tang 
Research of the first author is supported by aNNSFgrant ofChina(Grant#11371335);WuWen-Tsun Key Laboratory of Mathematics,USTC,Chinese Academy of Sciences.Research of the second author supported by Chinese Academy of Sciences Visiting Professorship for Senior International Scientists(Grant No.2010T2J12).
A subgroup E of a finite group G is called hypercyclically embedded in G if every chief factor of G below E is cyclic.Let A be a subgroup of a group G.Then we call any chief factor H/AG of G a G-boundary factor of A.F...
关键词：Finite group Hypercyclically embedded subgroup G-boundary factor G-trace of subgroup Meet-irreducible subgroup 
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