Results 11 to 20 of about 1,402,642 (202)
On the σ-Length of Maximal Subgroups of Finite σ-Soluble Groups
Mathematics, 2020 Let σ={σi:i∈I} be a partition of the set P of all prime numbers and let G be a finite group. We say that G is σ-primary if all the prime factors of |G| belong to the same member of σ. G is said to be σ-soluble if every chief factor of G is σ-primary, and
Abd El-Rahman Heliel +2 more
doaj +2 more sources
The maximal subgroups of [PDF]
LMS Journal of Computation and Mathematics, 2015 Here we determine up to conjugacy all the maximal subgroups of the finite exceptional group of Lie-type$E_{7}(2)$.Supplementary materials are available with this article.
John Ballantyne +2 more
openaire +2 more sources
The maximal subgroups of the Monster
Advances in Mathematics, 2023 The classification of the maximal subgroups of the Monster $\mathbf{M}$ is a long-standing problem in finite group theory. According to the literature, the classification is complete apart from the question of whether $\mathbf{M}$ contains maximal subgroups that are almost simple with socle $\mathrm{PSL}_2(13)$.
Dietrich, Heiko +2 more
openaire +4 more sources
On maximal subgroups of infinite index in branch and weakly branch groups [PDF]
Journal of Algebra, 2020 We generalise a technical tool, originally developed by Pervova for the study of maximal subgroups in Grigorchuk and GGS groups, to all weakly branch groups satisfying a natural condition, and in particular to all branch groups.
Dominik Francoeur
semanticscholar +1 more source
Maximal subgroups of non-torsion Grigorchuk-Gupta-Sidki groups [PDF]
Canadian mathematical bulletin, 2020 A Grigorchuk-Gupta-Sidki (GGS-)group is a subgroup of the automorphism group of the $p$-adic tree for an odd prime $p$, generated by one rooted automorphism and one directed automorphism.
Dominik Francoeur, A. Thillaisundaram
semanticscholar +1 more source
Maximal subgroups and von Neumann subalgebras with the Haagerup property [PDF]
Groups, Geometry, and Dynamics, 2019 We initiate a study of maximal subgroups and maximal von Neumann subalgebras which have the Haagerup property. We determine maximal Haagerup subgroups inside $\mathbb{Z}^2 \rtimes SL_2(\mathbb{Z})$ and obtain several explicit instances where maximal ...
Yongle Jiang, Adam G. Skalski
semanticscholar +1 more source
A generalization of the Chermak--Delgado measure on subgroups and its associated lattice [PDF]
International Journal of Group Theory, 2023 We generalize the Chermak--Delgado measure of a subgroup of a finite group $G$, $\mu(H) = |H||C_{G}(H)|$, and its associated lattice of subgroups with maximal measure. We consider mappings $M$ of the lattice of all subgroups $\mathrm{Sub}(G)$ into itself
William Cocke +2 more
doaj +1 more source
Seminormal, Non-Normal Maximal Subgroups and Soluble PST-Groups [PDF]
Advances in Group Theory and Applications, 2016 All groups in this paper are finite. Let G be a group. Maximal subgroups of G are used to establish several new characterisations of soluble PST-groups.
J.C. Beidleman
doaj +1 more source
Maximal von Neumann subalgebras arising from maximal subgroups [PDF]
Science China Mathematics, 2019 Ge (2003) asked the question whether LF∞ can be embedded in to LF2 as a maximal subfactor. We answer it affirmatively in three different approaches, all containing the same key ingredient: the existence of maximal subgroups with infinite index.
Yongle Jiang
semanticscholar +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