Results 11 to 20 of about 44,303 (125)
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
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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
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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
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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
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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
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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
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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
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Conjugacy classes of maximal cyclic subgroups [PDF]
Journal of group theroy, 2022 In this paper, we study the number of conjugacy classes of maximal cyclic subgroups of a finite group 𝐺, denoted η ( G ) \eta(G) . First we consider the properties of this invariant in relation to direct and semi-direct products, and we characterize ...
M. Bianchi +3 more
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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
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Internal Direct Products and the Universal Property of Direct Product Groups
Formalized Mathematics, 2023 This is a “quality of life” article concerning product groups, using the Mizar system [2], [4]. Like a Sonata, this article consists of three movements.
Alexander M. Nelson
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