Author: Robert Curtis
Publisher: Cambridge University Press
ISBN: 052185721X
Category : Mathematics
Languages : en
Pages : 333
Book Description
Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.
Symmetric Generation of Groups
Author: Robert Curtis
Publisher: Cambridge University Press
ISBN: 052185721X
Category : Mathematics
Languages : en
Pages : 333
Book Description
Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.
Publisher: Cambridge University Press
ISBN: 052185721X
Category : Mathematics
Languages : en
Pages : 333
Book Description
Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.
Symmetric Generation of Groups
Author: Professor Curtis Robert T
Publisher:
ISBN: 9781107095991
Category : Finite simple groups
Languages : es
Pages : 333
Book Description
Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.
Publisher:
ISBN: 9781107095991
Category : Finite simple groups
Languages : es
Pages : 333
Book Description
Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.
Computational Methods in Symmetric Generation of Groups
Author: Mohamed Sayed Mohamed
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
On the Symmetric Generation of Finite Groups
Author: Benjamin Thomas Fairbairn
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Symmetric Generation of Finite Groups
Author: Maria de la Luz Torres
Publisher:
ISBN:
Category : Finite groups
Languages : en
Pages : 490
Book Description
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.
Publisher:
ISBN:
Category : Finite groups
Languages : en
Pages : 490
Book Description
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.
On the Symmetric Generation of Finite Groups
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
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.
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
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.
Groups St Andrews 2009 in Bath: Volume 2
Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 1139498282
Category : Mathematics
Languages : en
Pages : 305
Book Description
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.
Publisher: Cambridge University Press
ISBN: 1139498282
Category : Mathematics
Languages : en
Pages : 305
Book Description
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.
Symmetric Generation of M22
Author: Bronson Cade Lim
Publisher:
ISBN:
Category : Symmetry (Mathematics)
Languages : en
Pages : 184
Book Description
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.
Publisher:
ISBN:
Category : Symmetry (Mathematics)
Languages : en
Pages : 184
Book Description
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.
The Atlas of Finite Groups - Ten Years On
Author: Robert Curtis
Publisher: Cambridge University Press
ISBN: 0521575877
Category : Mathematics
Languages : en
Pages : 315
Book Description
Proceedings containing twenty articles by leading experts in group theory and its applications.
Publisher: Cambridge University Press
ISBN: 0521575877
Category : Mathematics
Languages : en
Pages : 315
Book Description
Proceedings containing twenty articles by leading experts in group theory and its applications.
Symmetric Generation
Author: Dung Hoang Tri
Publisher:
ISBN:
Category : Automorphisms
Languages : en
Pages : 528
Book Description
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 .
Publisher:
ISBN:
Category : Automorphisms
Languages : en
Pages : 528
Book Description
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 .