Results 31 to 40 of about 5,167,602 (281)
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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Decomposing locally compact groups into simple pieces [PDF]
, 2008 We present a contribution to the structure theory of locally compact groups. The emphasis is on compactly generated locally compact groups which admit no infinite discrete quotient.
Bourbaki +18 more
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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 groups without lattices
, 2011 We show that the group of almost automorphisms of a d-regular tree does not admit lattices. As far as we know this is the first such example among (compactly generated) simple locally compact groups.Comment: 17 pages.
Bader, Uri +3 more
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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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New Beauville surfaces and finite simple groups [PDF]
, 2011 In this paper we construct new Beauville surfaces with group either $\PSL(2,p^e)$, or belonging to some other families of finite simple groups of Lie type of low Lie rank, or an alternating group, or a symmetric group, proving a conjecture of Bauer ...
Garion, Shelly, Penegini, Matteo
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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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