Results 1 to 10 of about 50 (50)

Rigid automorphisms of linking systems

Forum of Mathematics, Sigma, 2021
A rigid automorphism of a linking system is an automorphism that restricts to the identity on the Sylow subgroup. A rigid inner automorphism is conjugation by an element in the center of the Sylow subgroup.
George Glauberman, Justin Lynd
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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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Weights in a Benson-Solomon block

Forum of Mathematics, Sigma, 2023
To each pair consisting of a saturated fusion system over a p-group together with a compatible family of Külshammer-Puig cohomology classes, one can count weights in a hypothetical block algebra arising from these data.
Justin Lynd, Jason Semeraro
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Extensions of homomorphisms between localities

Forum of Mathematics, Sigma, 2021
We show that the automorphism group of a linking system associated to a saturated fusion system $\mathcal {F}$ depends only on $\mathcal {F}$ as long as the object set of the linking system is $\mathrm {Aut}(\mathcal {F})$ -invariant.
Ellen Henke
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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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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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A characterization of projective special unitary group U3(5) by nse

Arab Journal of Mathematical Sciences, 2014
Let G be a group and ω(G) be the set of element orders of G. Let k ∈ ω(G) and sk be the number of elements of order k in G. Let nse(G) = {sk∣k ∈ ω(G)}. In Khatami et al. and Liu’s works L3(2) and L3(4) are unique determined by nse(G).
Shitian Liu
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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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