Results 41 to 50 of about 15,340,598 (357)
FINITELY ANNIHILATED GROUPS [PDF]
Bulletin of the Australian Mathematical Society, 2014 AbstractIn 1976, Wiegold asked if every finitely generated perfect group has weight 1. We introduce a new property of groups,finitely annihilated, and show that this might be a possible approach to resolving Wiegold’s problem. For finitely generated groups, we show that in several classes (finite, solvable, free), being finitely annihilated is ...
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On finite totally $2$-closed groups
Comptes Rendus. Mathématique, 2022 An abstract group $G$ is called totally $2$-closed if $H=H^{(2),\Omega }$ for any set $\Omega $ with $G\cong H\le \mathrm{Sym}(\Omega )$, where $H^{(2),\Omega }$ is the largest subgroup of $\mathrm{Sym}(\Omega )$ whose orbits on $\Omega \times \Omega ...
Abdollahi, Alireza +2 more
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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
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On Polish Groups of Finite Type [PDF]
, 2011 Sorin Popa initiated the study of Polish groups which are embeddable into the unitary group of a separable finite von Neumann algebra. Such groups are called of finite type.
Ando, Hiroshi, Matsuzawa, Yasumichi
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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 .
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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. +1 more
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On the Connectivity of Proper Power Graphs of Finite Groups [PDF]
, 2014 We study the connectivity of proper power graphs of some family of finite groups including nilpotent groups, groups with a nontrivial partition, and symmetric and alternating groups.
Alireza Doostabadi +1 more
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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
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A new characterization of Janko simple groups
AIMS MathematicsIn 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
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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
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