Results 1 to 10 of about 47 (47)

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
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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
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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
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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
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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
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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
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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
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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
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Relation Between Groups with Basis Property and Groups with Exchange Property

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
A group G is called a group with basis property if there exists a basis (minimal generating set) for every subgroup H of G and every two bases are equivalent.
Khalaf Al Khalaf, Alkadhi Mohammed
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Characterization of p-nilpotency and IC-properties of finite groups

Demonstratio Mathematica
As is well known, the embedding of all maximal subgroups of P of a group G can determine the structure of G, where p ∈ π(G) and P ∈ Syl p(G). Based on the topic, we defined two sets δ (P,G) = {P 1 ⋖ P∣P ∩ [P, G] ≰ P 1} and F(P,G)={P1⋖P∣PG≰P1} ${\mathfrak{
Xiang Yanhui, Zhang Jia
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