FINITE_GROUPS

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相关期刊：《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《Journal of Mathematical Research with Applications》《Science China Mathematics》更多>>
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Finite Groups with Some Self-Conjugate-Permutable Subgroups
《Journal of Mathematical Research with Applications》2024年第2期199-208,共10页Wanlin WANG Pengfei GUO 
Supported by the National Natural Science Foundation of China(Grant No.12061030);the Natural Science Foundation of Hainan Province(Grant No.122RC652).
A subgroup H of a group G is said to be self-conjugate-permutable if HHx=H xH implies H^(x)=H for any x of G.A finite group G is called an SC-group(P SC-group,respectively)if all cyclic subgroups of G of order 2 or or...
关键词：SC-group P SC-group self-conjugate-permutable subgroup maximal subgroup 
Finite Groups with Some C_(p)-Supplemented Subgroups
《Journal of Mathematical Research with Applications》2023年第1期74-82,共9页Yubo LV Yangming LI 
Supported by the National Natural Science Foundation of China(Grant No.12071092);the Science and Technology Program of Guangzhou Municipality(Grant No.201804010088).
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...
关键词：c-supplemented subgroup Cp-normal subgroup Cp-supplemented subgroup CSpgroup p-supersolvable group 
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 
Finite Groups Whose Norm Quotient Groups Have Cyclic Sylow Subgroups
《Journal of Mathematical Research with Applications》2022年第2期153-161,共9页Songliang CHEN Yun FAN 
Supported by the National Natural Science Foundation of China(Grant No.11661023);the Service Industry Development Guide of Guizhou Province(Grant No.Qian Fa Gai Fu Wu[2018]1181)。
Let G be a finite group and N(G)be its norm.Then N(G)is a characteristic subgroup of G which normalizes every subgroup of G.In this paper,we will study the structure of G under one of the following conditions:1)norm q...
关键词：NORM Dedekind group Hamiltonian group π-group structure of finite group Sylow subgroup 
On the Spectra of Strong Power Graphs of Finite Groups
《Journal of Mathematical Research with Applications》2019年第5期453-458,共6页Ruiqin FU Xuanlong MA 
Supported by the National Natural Science Foundation of China(Grant No.11801441);the Scientific Research Program Funded by Shaanxi Provincial Education Department(Program No.18JK0623);the Natural Science Foundation of Shaanxi Province(Grant No.2019JQ-056)
Let G be a finite group of order n. The strong power graph of G is the undirected graph whose vertex set is G and two distinct vertices x and y are adjacent if x^n1 = y^n2 for some positive integers n1,n2 < n. In this...
关键词：strong POWER graph CYCLIC group characteristic POLYNOMIAL spectrum 
On Φ-τ-Supplement Subgroups of Finite Groups被引量：2
《Journal of Mathematical Research with Applications》2017年第3期281-289,共9页Xiaojian MA Yuemei MAO 
Supported by the National Natural Science Foundation of China(Grant No.11371335)
Let τ be a subgroup functor and H a p-subgroup of a finite group G. Let G= G/H_G and H= H/H_G. We say that H is Φ-τ-supplement in G if G has a subnormal subgroup T and a τ-subgroup S contained in H such that G=H T...
关键词：Sylow subgroups subnormal subgroups subgroup functor p-nilpotent group Φ-τ-supplement 
Finite Groups with Some Subgroups Weakly s-Permutably Embedded
《Journal of Mathematical Research with Applications》2014年第5期535-542,共8页Shouhong QIAO Yanming WANG 
the National Natural Science Foundation of China(Grant Nos.11201082;11171353);China Postdoctoral Science Foundation(Grant No.2013T60866);the Natural Science Foundation of Guangdong Province(Grant No.S201204007267);Outstanding Young Teachers Training Project of Guangdong Province(GrantNo.Yq2013061)
Let P be a Sylow p-subgroup of a group G with the smallest generator number d, where p is a prime. Denote by Md（P） = （P1, P2,..., Pd） a set of maximal subgroups of P such that φ（P） = ∩n^d=1Pn. In this paper, w...
关键词：finite groups weakly s-permutably embedded subgroups p-nilpotent groups p-supersolvable groups supersolvable groups. 
Coleman Automorphisms of Finite Groups with a Unique Nontrivial Normal Subgroup
《Journal of Mathematical Research with Applications》2014年第3期301-306,共6页Zhengxing LI Jinke HAI Shuxian YANG 
Supported by the National Natural Science Foundation of China(Grant Nos.11171169;11071155);the Doctorial Foundation of Shandong Province(Grant No.BS2012SF003)
Let G be a finite group with a unique nontrivial normal subgroup. It is shown that every Coleman automorphism of G is an inner automorphism.
关键词：Coleman automorphism minimal normal subgroup. 
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