On Thompson’s conjecture for alternating and symmetric groups of degree greater than 1361

2016 ◽  
Vol 293 (S1) ◽  
pp. 58-65 ◽  
Author(s):  
I. B. Gorshkov
Keyword(s):  
Symmetric Groups ◽  
Thompson’S Conjecture ◽  
Alternating And Symmetric Groups

The factorisation of the alternating and symmetric groups

1980 ◽  
Vol 175 (2) ◽  
pp. 171-179 ◽  
Author(s):  
James Wiegold ◽  
Alan G. Williamson
Keyword(s):  
Symmetric Groups ◽  
Alternating And Symmetric Groups

scholarly journals On alternating and symmetric groups which are quasi OD-characterizable

2017 ◽  
Vol 16 (04) ◽  
pp. 1750065 ◽  
Author(s):  
Ali Reza Moghaddamfar
Keyword(s):  
Finite Group ◽  
Symmetric Group ◽  
Prime Graph ◽  
Symmetric Groups ◽  
Degree Pattern ◽  
Alternating And Symmetric Groups ◽  
A Finite Group

Let [Formula: see text] be the prime graph associated with a finite group [Formula: see text] and [Formula: see text] be the degree pattern of [Formula: see text]. A finite group [Formula: see text] is said to be [Formula: see text]-fold [Formula: see text]-characterizable if there exist exactly [Formula: see text] nonisomorphic groups [Formula: see text] such that [Formula: see text] and [Formula: see text]. The purpose of this paper is two-fold. First, it shows that the symmetric group [Formula: see text] is [Formula: see text]-fold [Formula: see text]-charaterizable. Second, it shows that there exist many infinite families of alternating and symmetric groups, [Formula: see text] and [Formula: see text], which are [Formula: see text]-fold [Formula: see text]-characterizable with [Formula: see text].

Quasi-permutation representations of alternating and symmetric groups*

2007 ◽  
Vol 27 (2) ◽  
pp. 297-300
Author(s):  
Behravesh Houshang ◽  
Hossein Jafari Mohammad
Keyword(s):  
Symmetric Groups ◽  
Alternating And Symmetric Groups

scholarly journals Lower signalizer lattices in alternating and symmetric groups

2012 ◽  
Vol 15 (2) ◽  
Author(s):  
Michael Aschbacher
Keyword(s):  
Symmetric Groups ◽  
Subgroup Lattices ◽  
Alternating And Symmetric Groups

Abstract.We prove that the subgroup lattices of finite alternating and symmetric groups do not contain so-called lower signalizer lattices in the class

A Geometrical Study of the Alternating and Symmetric Groups

1929 ◽  
Vol 25 (2) ◽  
pp. 168-174 ◽  
Author(s):  
G. de B. Robinson
Keyword(s):  
Finite Group ◽  
Hermitian Form ◽  
Symmetric Groups ◽  
Irreducible Group ◽  
Image Position ◽  
Alternating And Symmetric Groups ◽  
A Finite Group

Let a finite group Τ be represented as an irreducible group of order N of linear substitutions on n variables,The variables may be chosen so that the substitutions of the group leave invariant the Hermitian form

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