Results 21 to 30 of about 998,375 (277)

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
doaj   +1 more source

Quantitative characterization of finite simple groups: a complement [PDF]

International Journal of Group Theory
In 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
doaj   +1 more source

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
doaj   +1 more source

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, Stancu, Radu, Thévenaz, Jacques   +2 more
core   +2 more sources

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, Daneshkhah, Ashraf, Jafari, Ali   +2 more
core   +2 more sources

On the minimal dimension of a finite simple group [PDF]

Journal of Combinatorial Theory, Series A, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Timothy C. Burness, Martino Garonzi, Andrea Lucchini   +2 more
openaire   +5 more sources

The exact spread of M23 is 8064 [PDF]

International Journal of Group Theory, 2012
Let $G$ be a finite group. We say that $G$ has emph{spread} r if for any set of distinct non-trivial elements of $G$ $X:={x_1,ldots, x_r}subset G^{#}$ there exists an element $yin G$ with the property that $langle x_i,yrangle=G$ for every $1leq ileq r ...
B. Fairbairn
doaj  

On a Sufficient Condition for the Existence of a Periodic Part in the Shunkov Group

Известия Иркутского государственного университета: Серия "Математика", 2017
The group $ G $ is saturated with groups from the set of groups if any a finite subgroup $ K $ of $ G $ is contained in a subgroup of $ G $, which is isomorphic to some group in $ \mathfrak{X} $.
A.A. Shlepkin
doaj   +1 more source

Characterization of A5 and PSL(2,7) by sum of elements orders [PDF]

International Journal of Group Theory, 2013
Let $G$ be a finite group. We denote $psi(G)=sum_{gin G}o(g)$ where $o(g)$ denotes the order of $g in G$. Here we show that $psi(A_5)< psi(G)$ for every nonsimple group $G$ of order 60. Also we prove that $psi(PSL(2,7))groups $G$ of order 168.
Seyyed Majid Jafarian Amiri
doaj  

Groups with a Strongly Embedded Subgroup Saturated with Finite Simple Non-abelian Groups

Известия Иркутского государственного университета: Серия "Математика", 2020
An important concept in the theory of finite groups is the concept of a strongly embedded subgroup. The fundamental result on the structure of finite groups with a strongly embedded subgroup belongs to M. Suzuki.
A.A. Shlepkin
doaj   +1 more source