Results 11 to 20 of about 49,400 (294)
Finite simple groups as expanders. [PDF]
Proc Natl Acad Sci U S A, 2006 We prove that there exist k ∈ ℕ and 0 < ε ∈ ℝ such that every non-abelian finite simple group G , which is not a Suzuki group, has a set of k generators for which the Cayley graph Cay( G ; S ) is an ε-expander.
Kassabov M, Lubotzky A, Nikolov N.
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The known finite simple groups [PDF]
Bulletin of the American Mathematical Society, 1899 L. E. Dickson
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Finite simple groups and localization [PDF]
Israel Journal of Mathematics, 2000 The purpose of this paper is to explore the concept of localization, which comes from homotopy theory, in the context of finite simple groups. We give an easy criterion for a finite simple group to be a localization of some simple subgroup and we apply it in various cases.
José L. Rodrı́guez +2 more
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The depth of a finite simple group [PDF]
Proceedings of the American Mathematical Society, 2018 15 pages; to appear in Proc. Amer.
Burness, Tim +2 more
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Finite Groups Isospectral to Simple Groups
Communications in Mathematics and Statistics, 2022 The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum, in particular, to list all finite simple groups for which the recognition problem is solved.
Maria A. Grechkoseeva +4 more
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Thin finite simple groups [PDF]
Journal of Algebra, 1976 A group G is of characterstic 2 type if F*(M) = O,(M) for each 2-local subgroup M of G. It seems likely that in the near future the problem of determining the finite simple groups will be reduced to the determination of the characteristic 2 type groups.
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On recognizing groups by the bottom layer [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The article discusses the possibility of recognizing a group by the bottom layer, that is, by the set of its elements of prime orders. The paper gives examples of groups recognizable by the bottom layer, almost recognizable by the bottom layer, and ...
V.I. Senashov, I.A. Paraschuk
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Alperin weight conjecture and related developments
Bulletin of Mathematical Sciences, 2022 The Alperin weight conjecture is central to the modern representation theory of finite groups, and it is still open, despite many different approaches from different points of view.
Zhicheng Feng, Jiping Zhang
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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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A REFINED WARING PROBLEM FOR FINITE SIMPLE GROUPS
Forum of Mathematics, Sigma, 2015 Let $w_{1}$ and $w_{2}$ be nontrivial words in free groups $F_{n_{1}}$ and $F_{n_{2}}$, respectively. We prove that, for all sufficiently large finite nonabelian simple groups $G$, there exist subsets $C_{1}\subseteq w_{1}(G)$ and $C_{2}\subseteq w_{2}(G)
MICHAEL LARSEN, PHAM HUU TIEP
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