Book Description
Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.
Author : Robert Curtis
Publisher : Cambridge University Press
Page : 333 pages
File Size : 29,6 MB
Release : 2007-07-05
Category : Mathematics
ISBN : 052185721X
Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.
Author : Professor Curtis Robert T
Publisher :
Page : 333 pages
File Size : 38,58 MB
Release : 2014-05-22
Category : MATHEMATICS
ISBN : 9781107089709
Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.
Author : Mohamed Sayed Mohamed
Publisher :
Page : pages
File Size : 28,89 MB
Release : 1997
Category :
ISBN :
Author : Benjamin Thomas Fairbairn
Publisher :
Page : 0 pages
File Size : 34,95 MB
Release : 2008
Category :
ISBN :
Author : Maria de la Luz Torres
Publisher :
Page : 490 pages
File Size : 21,98 MB
Release : 2005
Category : Finite groups
ISBN :
Advantages of the double coset enumeration technique include its use to represent group elements in a convenient shorter form than their usual permutation representations and to find nice permutation representations for groups. In this thesis we construct, by hand, several groups, including U3(3) : 2, L2(13), PGL2(11), and PGL2(7), represent their elements in the short form (symmetric representation) and produce their permutation representations.
Author :
Publisher :
Page : pages
File Size : 40,16 MB
Release :
Category :
ISBN :
In this thesis we discuss some uses and applications of the techniques in Symmetric generation. In Chapter 1 we introduce the notions of symmetric generation. In Chapter 2 we discuss symmetric presentations defined by symmetric generating sets that are preserved by a group acting on them transitively but imprimitively. In Chapter 3 our attention turns to Coxeter groups. We show how the Coxeter-Moser presentations traditionally associated with the families of finite Coxeter groups of types A\(_n\), D\(_n\) and E\(_n\) (ie the "simply laced" Coxeter groups) may be interpreted as symmetric presentations and as such may be naturally arrived at by elementary means. In Chapter 4 we classify the irreducible monomial representations of the groups L\(_2\)(q) and use these to define symmetric generating sets of various groups.
Author : C. M. Campbell
Publisher : Cambridge University Press
Page : 305 pages
File Size : 46,23 MB
Release : 2011-06-16
Category : Mathematics
ISBN : 1139498282
This second volume of a two-volume book contains selected papers from the international conference Groups St Andrews 2009. Leading researchers in their respective areas, including Eammon O'Brien, Mark Sapir and Dan Segal, survey the latest developments in algebra.
Author : Bronson Cade Lim
Publisher :
Page : 184 pages
File Size : 23,41 MB
Release : 2011
Category : Symmetry (Mathematics)
ISBN :
This study will prove the Mathieu group M22 contains two symmetric generating sets with control grougp L3 (2). The first generating set consists of order 3 elements while the second consists of involutions.
Author : Robert Curtis
Publisher : Cambridge University Press
Page : 315 pages
File Size : 11,22 MB
Release : 1998-06-11
Category : Mathematics
ISBN : 0521575877
Proceedings containing twenty articles by leading experts in group theory and its applications.
Author : Dung Hoang Tri
Publisher :
Page : 528 pages
File Size : 43,2 MB
Release : 2010
Category : Automorphisms
ISBN :
In this thesis we construct finite homorphic images of infinite semi-direct products, 2*n : N, where 2*n is a free product of n copies the cyclic group of permutations on n letter .