Results 1 to 10 of about 455 (54)
On regular subgroup functors of finite groups
Open Mathematics, 2022 A subgroup functor τ\tau is said Φ\Phi -regular if for all primitive groups GG, whenever H∈τ(G)H\in \tau \left(G) is a pp-subgroup and NN is a minimal normal subgroup of GG, then ∣G:NG(H∩N)∣=pd| G:{N}_{G}\left(H\cap N)| ={p}^{d} for some integer dd.
Li Baojun, Wu Yan, Gong Lü
doaj +1 more source
Some new characterizations of finite p-nilpotent groups
Open Mathematics, 2022 In this article, some new sufficient conditions of p-nilpotency of finite groups are obtained by using c-normality and Φ-supplementary of the maximal or the 2-maximal subgroups of the Sylow p-subgroups.
Xie Fengyan, Li Jinbao
doaj +1 more source
Finite groups whose maximal subgroups of even order are MSN-groups
Open Mathematics, 2022 A finite group GG is called an MSN-group if all maximal subgroups of the Sylow subgroups of GG are subnormal in GG. In this article, we investigate the structure of finite groups GG such that GG is a non-MSN-group of even order in which every maximal ...
Wang Wanlin, Guo Pengfei
doaj +1 more source
On sub-class sizes of mutually permutable products
Open Mathematics, 2021 In this paper, we investigate the influence of sub-class sizes on a mutually permutable factorized group in which the sub-class sizes of some elements of its factors have certain quantitative properties. Some criteria for a group to be pp-nilpotent or pp-
Li Jinbao, Yang Yong
doaj +1 more source
Finite groups with some weakly pronormal subgroups
Open Mathematics, 2020 A subgroup H of a finite group G is called weakly pronormal in G if there exists a subgroup K of G such that G=HKG=HK and H∩KH\cap K is pronormal in G.
Liu Jianjun, Jiang Mengling, Chen Guiyun
doaj +1 more source
On the commuting probability and supersolvability of finite groups [PDF]
, 2013 For a finite group $G$, let $d(G)$ denote the probability that a randomly chosen pair of elements of $G$ commute. We prove that if $d(G)>1/s$ for some integer $s>1$ and $G$ splits over an abelian normal nontrivial subgroup $N$, then $G$ has a nontrivial ...
Lescot, Paul +2 more
core +2 more sources
A note on the structure of a finite group G having a subgroup H maximal in 〈H, Hg〉
Open Mathematics, 2019 Let G be a finite group and H ≤ G. The authors study the structure of finite groups G having a subgroup H which is maximal in 〈H, Hg〉 for some g ∈ G. Some results on the structure of 〈H, Hg〉 and G are set up.
Xu Yong, Li Xianhua, Chen Guiyun
doaj +1 more source
On CSQ-normal subgroups of finite groups
Open Mathematics, 2016 We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups.
Xu Yong, Li Xianhua
doaj +1 more source
Frobenius-like groups as groups of automorphisms [PDF]
, 2014 A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that FH/[F,F] is a Frobenius group with Frobenius kernel F/[F,F].
Ercan, Gulin +2 more
core +1 more source
Finite groups whose all second maximal subgroups are cyclic
Open Mathematics, 2017 In this paper, we give a complete classification of the finite groups G whose second maximal subgroups are ...
Ma Li, Meng Wei, Ma Wanqing
doaj +1 more source