Results 1 to 10 of about 44,755 (189)
Transitive simple subgroups of wreath products in product action [PDF]
Journal of the Australian Mathematical Society, 2003 A transitive simple subgroup of a finite symmetric group is very rarely contained in a full wreath product in product action. All such simple permutation groups are determined in this paper.
Baddeley, Robert W. +2 more
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On some products of finite groups [PDF]
Proceedings of the Edinburgh Mathematical Society, 2022 A classical result of Baer states that a finite group G which is the product of two normal supersoluble subgroups is supersoluble if and only if Gʹ is nilpotent.
A. Ballester-Bolinches +3 more
semanticscholar +1 more source
Massey products in the homology of the loop space of a p-completed classifying space: finite groups with cyclic Sylow p-subgroups [PDF]
Proceedings of the Edinburgh Mathematical Society, 2020 Let $G$ be a finite group with cyclic Sylow $p$-subgroups, and let $k$ be a field of characteristic $p$. Then $H^{*}(BG;k)$ and $H_*(\Omega BG{{}^{{}^{\wedge }}_p};k)$ are $A_\infty$ algebras whose structure we determine up to quasi-isomorphism.
D. Benson, J. Greenlees
semanticscholar +1 more source
SOME PRODUCTS OF SUBGROUPS AND VANISHING CONJUGACY CLASS SIZES
Bulletin of the Australian Mathematical Society, 2022 In this note, we investigate some products of subgroups and vanishing conjugacy class sizes of finite groups. We prove some supersolubility criteria for groups with restrictions on the vanishing conjugacy class sizes of their subgroups.
A. Ballester-Bolinches +3 more
semanticscholar +1 more source
On free decompositions of verbally closed subgroups in free products of finite groups [PDF]
, 2016 For a subgroup of a free product of finite groups, we obtain necessary conditions (on its Kurosh decomposition) for it to be verbally closed.
A. M. Mazhuga
semanticscholar +1 more source
Generators and commutators in finite groups; abstract quotients of compact groups [PDF]
Inventiones Mathematicae, 2011 The first part of the paper establishes results about products of commutators in a d-generator finite group G, for example: if H⊲G=〈g1,…,gr〉 then every element of the subgroup [H,G] is a product of f(r) factors of the form $[h_{1},g_{1}][h_{1}^{\prime ...
N. Nikolov, D. Segal
semanticscholar +2 more sources
The Abelian Groups of Large Order: Perspective from (Fuzzy) Subgroups of Finite p-Groups
Mathematics and Computer Science, 2021 In the recent past, results have shown that Nilpotent groups such as p-groups, have normal series of finite length. Any finite p-group has many normal subgroups and consequently, the phenomenon of large number of non-isomorphic subgroups of a given order.
S. Adebisi, Mike Ogiugo, M. Enioluwafe
semanticscholar +1 more source
ON CERTAIN PRODUCTS OF PERMUTABLE SUBGROUPS
Bulletin of the Australian Mathematical Society, 2021 In this paper, we study the structure of finite groups $G=AB$ which are a weakly mutually $sn$ -permutable product of the subgroups A and B, that is, A permutes with every subnormal subgroup of B containing $A \cap B$ and B permutes with every ...
A. Ballester-Bolinches +3 more
semanticscholar +1 more source
Products of unipotent elements in certain algebras
Forum mathematicum, 2023 Let F be an algebraically closed field and let R be a locally finite algebra over F. This paper aims to show that any element of R is a product of at most three unipotent elements from R if and only if the element lies in the first derived subgroup of ...
M. H. Bien +3 more
semanticscholar +1 more source
Finiteness results for subgroups of finite extensions [PDF]
, 2014 We discuss in the context of finite extensions two classical theorems of Takahasi and Howson on subgroups of free groups. We provide bounds for the rank of the intersection of subgroups within classes of groups such as virtually free groups, virtually ...
Araujo, Vitor +2 more
core +2 more sources