Results 11 to 20 of about 993,639 (182)
The reduction theorem for relatively maximal subgroups
Bulletin of Mathematical Sciences, 2022 Let [Formula: see text] be a class of finite groups closed under taking subgroups, homomorphic images and extensions. It is known that if [Formula: see text] is a normal subgroup of a finite group [Formula: see text] then the image of an [Formula: see ...
Wenbin Guo +2 more
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The recognition of finite simple groups with no elements of order $10$ by their element orders [PDF]
International Journal of Group Theory, 2022 The spectrum of a finite group is the set of its element orders. $H$ is said to be a finite cover of $G$ if $G$ is a homomorphic image of $H$ and $H$ is finite.
Huaiyu He, Wujie Shi
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$4$-Regular prime graphs of nonsolvable groups [PDF]
International Journal of Group Theory, 2020 Let $G$ be a finite group and $\cd(G)$ denote the character degree set for $G$. The prime graph $\DG$ is a simple graph whose vertex set consists of prime divisors of elements in $\cd(G)$, denoted $\rho(G)$.
Donnie Kasyoki, Paul Oleche
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On two generation methods for the simple linear group $PSL(3,7)$ [PDF]
AUT Journal of Mathematics and Computing, 2023 A finite group $G$ is said to be \textit{$(l,m, n)$-generated}, if it is a quotient group of the triangle group $T(l,m, n) = \left.$ In [J. Moori, $(p, q, r)$-generations for the Janko groups $J_{1}$ and $J_{2}$, Nova J.
Thekiso Seretlo
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Equal-Square Graphs Associated with Finite Groups
Journal of Mathematics, 2022 The graphical representation of finite groups is studied in this paper. For each finite group, a simple graph is associated for which the vertex set contains elements of group such that two distinct vertices x and y are adjacent iff x2=y2.
Shafiq Ur Rehman +3 more
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Remarks on Conjectures in Block Theory of Finite Groups
Axioms, 2023 In this paper, we focus on Brauer’s height zero conjecture, Robinson’s conjecture, and Olsson’s conjecture regarding the direct product of finite groups and give relative versions of these conjectures by restricting them to the algebraic concept of the ...
Manal H. Algreagri, Ahmad M. Alghamdi
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Quantitative characterization of finite simple groups: a complement [PDF]
International Journal of Group TheoryIn this paper, we summarize the research on the characterization of finite simple groups and the study of finite groups based on their ``set of element orders" and ``two orders" (the order of the group and the set of element orders). We also discuss some
Wujie Shi
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Simple biset functors and double Burnside rings [PDF]
, 2012 Let G be a finite group and let k be a field. Our purpose is to investigate the simple modules for the double Burnside ring kB(G,G). It turns out that they are evaluations at G of simple biset functors. For a fixed finite group H, we introduce a suitable
Bouc, Serge +2 more
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On homogeneous spaces with finite anti-solvable stabilizers
Comptes Rendus. Mathématique, 2022 We say that a group is anti-solvable if all of its composition factors are non-abelian. We consider a particular family of anti-solvable finite groups containing the simple alternating groups for $n\ne 6$ and all 26 sporadic simple groups. We prove that,
Lucchini Arteche, Giancarlo
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On groups with the same character degrees as almost simple groups with socle the Mathieu groups [PDF]
, 2016 Let $G$ be a finite group and $cd(G)$ denote the set of complex irreducible character degrees of $G$. In this paper, we prove that if $G$ is a finite group and $H$ is an almost simple group whose socle is Mathieu group such that $cd(G) =cd(H)$, then ...
Alavi, Seyed Hassan +2 more
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