Results 31 to 40 of about 1,511,588 (309)
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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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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On the Fundamental Group of a Simple Lie Group [PDF]
Nagoya Mathematical Journal, 1970 Let G be a simply connected simple Lie group and C the center of G, which is isomorphic with the fundamental group of the adjoint group of G. For an element c of C, an element x of the Lie algebra g of G is called a representative of c in g if exp x = c.
openaire +3 more sources
On base sizes for actions of finite classical groups [PDF]
, 2007 Let G be a finite almost simple classical group and let ? be a faithful primitive non-standard G-set. A base for G is a subset B C_ ? whose pointwise stabilizer is trivial; we write b(G) for the minimal size of a base for G.
Timothy C. Burness +2 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
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Totally -closed finite groups with trivial Fitting subgroup
Bulletin of Mathematical SciencesA 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 +3 more
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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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Symmetric Presentations of Coxeter Groups [PDF]
, 2011 We apply the techniques of symmetric generation to establish the standard presentations of the finite simply laced irreducible finite Coxeter groups, that is, the Coxeter groups of types An, Dn and En, and show that these are naturally arrived at purely ...
Fairbairn, Ben, Ben Fairbairn
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Homogenous finitary symmetric groups [PDF]
International Journal of Group Theory, 2015 We characterize strictly diagonal type of embeddings of finitary symmetric groups in terms of cardinality and the characteristic. Namely, we prove the following. Let kappa be an infinite cardinal. If G=underseti=1stackrelinftybigcupG i , where G i =
Otto. H. Kegel +1 more
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Recognition of the Simple Groups 2D8((2n)2)
Annals of the West University of Timisoara: Mathematics and Computer Science, 2019 One of the important problems in finite groups theory is group characterization by specific property. Properties, such as element orders, set of elements with the same order, the largest element order, etc.
Ebrahimzadeh Behnam
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