Results 21 to 30 of about 5,163,657 (332)

A characterization theorem for alternating groups

AIMS Mathematics
In this paper, we weakened the relevant conditions of order components, and only utilized the even-order components and the orders of centralizers to investigate their impact on the group structure.
Zhangjia Han, Dongyang He
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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
doaj  

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, Bourbaki, Bourbaki, Braconnier, Dixmier, Dugundji, Gol′ berg, Gorenstein, Grosser, Hewitt, Kelley, Mozes, NICOLAS MONOD, PIERRE-EMMANUEL CAPRACE, Platonov, Pontrjagin, Ušakov, Weil, Zerling   +18 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
openaire   +4 more sources

Simple groups admit Beauville structures

, 2011
We answer a conjecture of Bauer, Catanese and Grunewald showing that all finite simple groups other than the alternating group of degree 5 admit unmixed Beauville structures.
Guralnick, Robert, Malle, Gunter
core   +1 more source

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.
openaire   +2 more sources

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, George Havas, Colin Ramsay, Colin M. Campbell   +3 more
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Large subgroups of simple groups

, 2014
Let $G$ be a finite group. A proper subgroup $H$ of $G$ is said to be large if the order of $H$ satisfies the bound $|H|^3 \ge |G|$. In this note we determine all the large maximal subgroups of finite simple groups, and we establish an analogous result ...
Alavi, S. Hassan, Burness, Timothy C.
core   +1 more source

Totally -closed finite groups with trivial Fitting subgroup

Bulletin of Mathematical Sciences
A finite permutation group [Formula: see text] is called [Formula: see text]-closed if [Formula: see text] is the largest subgroup of [Formula: see text] which leaves invariant each of the [Formula: see text]-orbits for the induced action on [Formula ...
Majid Arezoomand, Mohammad A. Iranmanesh, Cheryl E. Praeger, Gareth Tracey   +3 more
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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
doaj