Results 11 to 20 of about 1,361,110 (264)
Conjugate factorizations of finite groups [PDF]
International Journal of Group Theory, 2015 In this paper we illustrate recent results about factorizations of finite groups into conjugate subgroups. The illustrated results are joint works with John Cannon, Dan Levy, Attila Mar'oti and Iulian I. Simion.
Martino Garonzi
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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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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
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On Huppert's conjecture for F_4(2) [PDF]
International Journal of Group Theory, 2012 Let $G$ be a finite group and let $text{cd}(G)$ be the set of all complex irreducible character degrees of $G$. B. Huppert conjectured that if $H$ is a finite nonabelian simple group such that $text{cd}(G) =text{cd}(H)$, then $Gcong H times A$, where $A$
Hung P Tong-Viet, Thomas P Wakefield
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Simple archimedean dimension groups [PDF]
Proceedings of the American Mathematical Society, 2013 We answer a question of Goodearl, by constructing for every metrizable Choquet simplex, a dimension group that is simple and archimedean and whose trace space is the desired Choquet simplex.
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All simple groups with order from 1 million to 5 million are efficient [PDF]
International Journal of Group Theory, 2014 There is much interest in finding short presentations for the finite simple groups. Indeed it has been suggested that all these groups are efficient in a technical sense.
Edmund F. Robertson +3 more
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Generalized $M^*$-simple groups
Rocky Mountain Journal of Mathematics, 2013 Let X be a compact bordered Klein surface of algebraic genus p >= 2, and let G = Gamma*/Lambda be a group of automorphisms of X where Gamma* is an NEC group and Lambda is a bordered surface group. If the order of G is 4q/(q - 2)(p- 1), for q >= 3 a prime number, then the signature of Gamma* is (0;+; [-]; {(2, 2, 2, q)}).
İkikardeş, Sebahattin, Şahin, Recep
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Centralizers in simple locally finite groups [PDF]
International Journal of Group Theory, 2013 This is a survey article on centralizers of finitesubgroups in locally finite, simple groups or LFS-groups as wewill call them. We mention some of the open problems aboutcentralizers of subgroups in LFS-groups and applications of theknown information ...
Mahmut Kuzucuoğlu
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GENERATING MAXIMAL SUBGROUPS OF FINITE ALMOST SIMPLE GROUPS
Forum of Mathematics, Sigma, 2020 For a finite group $G$, let $d(G)$ denote the minimal number of elements required to generate $G$. In this paper, we prove sharp upper bounds on $d(H)$ whenever $H$ is a maximal subgroup of a finite almost simple group.
ANDREA LUCCHINI +2 more
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Simple stable homogeneous groups [PDF]
Journal of Symbolic Logic, 2003 AbstractWe generalize tools and results from first order stable theories to groups inside a simple stable strongly homogeneous model.
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