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Finite Groups as Isometry Groups [PDF]

Transactions of the American Mathematical Society, 1976
We show that given any finite group G of cardinality k + 1 k + 1 , there is a Riemannian sphere S k − 1 {S^{k - 1}} (imbeddable isometrically as a hypersurface in R
openaire   +2 more sources

Beauville structures in finite p-groups [PDF]

, 2016
We study the existence of (unmixed) Beauville structures in finite $p$-groups, where $p$ is a prime. First of all, we extend Catanese's characterisation of abelian Beauville groups to finite $p$-groups satisfying certain conditions which are much weaker ...
Fernández-Alcober, Gustavo A., Gül, Şükran   +1 more
core   +1 more source

Commuting probabilities of finite groups [PDF]

, 2014
The commuting probability of a finite group is defined to be the probability that two randomly chosen group elements commute. Let P⊂(0,1] be the set of commuting probabilities of all finite groups.
Sean Eberhard
semanticscholar   +1 more source

Quotient Groups of Finite Groups [PDF]

Proceedings of the American Mathematical Society, 1984
Assume H H and H 0 {H_0} are subgroups of the finite group G G with H 0 ⧋ H H_0 \triangleubar H .
openaire   +1 more source

On the structure of finite groups isospectral to finite simple groups [PDF]

, 2014
Finite groups are said to be isospectral if they have the same sets of element orders. A finite nonabelian simple group L is said to be almost recognizable by spectrum if every finite group isospectral to L is an almost simple group with socle isomorphic
M. A. Grechkoseeva, A. Vasil’ev
semanticscholar   +1 more source

A new characterization of Janko simple groups

AIMS Mathematics
In this paper, we studied the influence of centralizers on the structure of groups, and demonstrated that Janko simple groups can be uniquely determined by two crucial quantitative properties: its even-order components of the group and the set $ \pi_{p_m}
Zhangjia Han, Jiang Hu , Dongyang He
doaj   +1 more source

CH-groups which are finite p-groups [PDF]

International Journal of Group Theory, 2012
In their paper "Finite groups whose noncentral commuting elements have centralizers of equal size", S.Dolfi, M.Herzog and E. Jabara classify the groups in question- which they call CH-groups- up to finite p-groups. Our goal is to investigate the finite p-
Bettina Wilkens
doaj  

Neutrosophic Graphs of Finite Groups [PDF]

Neutrosophic Sets and Systems, 2017
Most of the real world problems in the fields of philosophy, physics, statistics, finance, robotics, design theory, coding theory, knot theory, engineering, and information science contain subtle uncertainty and inconsistent, which causes complexity and
T. Chalapathi, R. V M S S Kiran Kumar
doaj   +1 more source

On finite arithmetic groups [PDF]

International Journal of Group Theory, 2013
Let $F$ be a finite extension of $Bbb Q$, ${Bbb Q}_p$ or a globalfield of positive characteristic, and let $E/F$ be a Galois extension.We study the realization fields offinite subgroups $G$ of $GL_n(E)$ stable under the naturaloperation of the Galois ...
Dmitry Malinin
doaj  

Subgroup Graphs of Finite Groups

International Journal of Applied Sciences and Smart Technologies, 2021
Let G be a fnite group with the set of subgroups of G denoted by S(G), then the subgroup graphs of G denoted by T(G) is a graph which set of vertices is S(G) such that two vertices H, K in S(G) (H not equal to K) are adjacent if either H is a subgroup of
Ojonugwa Ejima, Abor Isa Garba, Kazeem Olalekan Aremu   +2 more
doaj   +1 more source