Abstract Root Subgroups and Simple Groups of Lie-Type - Couverture souple

Timmesfeld, Franz G. Georg

9783034875967: Abstract Root Subgroups and Simple Groups of Lie-Type

Couverture souple

ISBN 10 : 3034875967 ISBN 13 : 9783034875967

Editeur : Birkh�user, 2012

Afficher les exemplaires de cette �dition comportant l?ISBN

1 D'occasion

De EUR 162,65

7 Neuf

De EUR 92,27

It was already in 1964 [Fis66] when B. Fischer raised the question: Which finite groups can be generated by a conjugacy class D of involutions, the product of any two of which has order 1, 2 or 37 Such a class D he called a class of 3-tmnspositions of G. This question is quite natural, since the class of transpositions of a symmetric group possesses this property. Namely the order of the product (ij)(kl) is 1, 2 or 3 according as {i,j} n {k,l} consists of 2,0 or 1 element. In fact, if I{i,j} n {k,I}1 = 1 and j = k, then (ij)(kl) is the 3-cycle (ijl). After the preliminary papers [Fis66] and [Fis64] he succeeded in [Fis71J, [Fis69] to classify all finite "nearly" simple groups generated by such a class of 3-transpositions, thereby discovering three new finite simple groups called M(22), M(23) and M(24). But even more important than his classification theorem was the fact that he originated a new method in the study of finite groups, which is called "internal geometric analysis" by D. Gorenstein in his book: Finite Simple Groups, an Introduction to their Classification. In fact D. Gorenstein writes that this method can be regarded as second in importance for the classification of finite simple groups only to the local group-theoretic analysis created by J. Thompson.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteurBirkh�user
Date d'�dition2012
ISBN 10 3034875967
ISBN 13 9783034875967
ReliureBroch�
Langueanglais
Nombre de pages408
Coordonn�es du fabricantnon disponible

Acheter D'occasion

�tat : Comme neuf

Like New

Afficher cet article

EUR 162,65

Autre devise

EUR 29,19 exp�dition depuis Royaume-Uni vers France

Destinations, frais et d�lais

Ajouter au panier

Acheter neuf

Afficher cet article

EUR 92,27

Autre devise

EUR 9,70 exp�dition depuis Allemagne vers France

Destinations, frais et d�lais

Ajouter au panier

Autres �ditions populaires du m�me titre

9783764365325: Abstract Root Subgroups and Simple Groups of Lie-Type

Edition pr�sent�e

ISBN 10 : 3764365323 ISBN 13 : 9783764365325
Editeur : Birkhauser Verlag AG, 2001
Couverture rigide

R�sultats de recherche pour Abstract Root Subgroups and Simple Groups of Lie-Type

Image fournie par le vendeur

Abstract Root Subgroups and Simple Groups of Lie-Type

Franz G. Timmesfeld

Edit� par Birkh�user Basel, 2012

ISBN 10 : 3034875967 ISBN 13 : 9783034875967

Neuf Couverture souple

impression � la demande

Vendeur : moluna, Greven, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book systematically treats the theory of groups generated by a conjugacy class of subgroups, satisfying certain generational properties on pairs of subgroups. For finite groups, this theory has been developed in the 1970s mainly by M. Aschbacher, B. N� de r�f. du vendeur 4319155

Contacter le vendeur

Acheter neuf

EUR 92,27

Autre devise

Frais de port : EUR 9,70

De Allemagne vers France

Destinations, frais et d�lais

Quantit� disponible : Plus de 20 disponibles

Ajouter au panier

Image fournie par le vendeur

Abstract Root Subgroups and Simple Groups of Lie-Type

Franz G. Timmesfeld

Edit� par Birkh�user Basel, Springer Basel, 2012

ISBN 10 : 3034875967 ISBN 13 : 9783034875967

Neuf Taschenbuch

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - It was already in 1964 [Fis66] when B. Fischer raised the question: Which finite groups can be generated by a conjugacy class D of involutions, the product of any two of which has order 1, 2 or 37 Such a class D he called a class of 3-tmnspositions of G. This question is quite natural, since the class of transpositions of a symmetric group possesses this property. Namely the order of the product (ij)(kl) is 1, 2 or 3 according as {i,j} n {k,l} consists of 2,0 or 1 element. In fact, if I{i,j} n {k,I}1 = 1 and j = k, then (ij)(kl) is the 3-cycle (ijl). After the preliminary papers [Fis66] and [Fis64] he succeeded in [Fis71J, [Fis69] to classify all finite 'nearly' simple groups generated by such a class of 3-transpositions, thereby discovering three new finite simple groups called M(22), M(23) and M(24). But even more important than his classification theorem was the fact that he originated a new method in the study of finite groups, which is called 'internal geometric analysis' by D. Gorenstein in his book: Finite Simple Groups, an Introduction to their Classification. In fact D. Gorenstein writes that this method can be regarded as second in importance for the classification of finite simple groups only to the local group-theoretic analysis created by J. Thompson. N� de r�f. du vendeur 9783034875967

Contacter le vendeur

Acheter neuf

EUR 106,99

Autre devise

Frais de port : EUR 10,99

De Allemagne vers France

Destinations, frais et d�lais

Quantit� disponible : 1 disponible(s)

Ajouter au panier

Image fournie par le vendeur

Abstract Root Subgroups and Simple Groups of Lie-Type

Franz G. Timmesfeld

Edit� par Birkh�user Basel Jun 2012, 2012

ISBN 10 : 3034875967 ISBN 13 : 9783034875967

Neuf Taschenbuch

impression � la demande

Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book systematically treats the theory of groups generated by a conjugacy class of subgroups, satisfying certain generational properties on pairs of subgroups. For finite groups, this theory has been developed in the 1970s mainly by M. Aschbacher, B. Fischer and the author. It was extended to arbitrary groups in the 1990s by the author. The theory of abstract root subgroups is an important tool to study and classify simple classical and Lie-type groups. 408 pp. Englisch. N� de r�f. du vendeur 9783034875967

Contacter le vendeur

Acheter neuf

EUR 106,99

Autre devise

Frais de port : EUR 11

De Allemagne vers France

Destinations, frais et d�lais

Quantit� disponible : 2 disponible(s)

Ajouter au panier

Image fournie par le vendeur

Abstract Root Subgroups and Simple Groups of Lie-Type

Franz G. Timmesfeld

Edit� par Birkh�user Basel, Springer Basel Jun 2012, 2012

ISBN 10 : 3034875967 ISBN 13 : 9783034875967

Neuf Taschenbuch

impression � la demande

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -It was already in 1964 [Fis66] when B. Fischer raised the question: Which finite groups can be generated by a conjugacy class D of involutions, the product of any two of which has order 1, 2 or 37 Such a class D he called a class of 3-tmnspositions of G. This question is quite natural, since the class of transpositions of a symmetric group possesses this property. Namely the order of the product (ij)(kl) is 1, 2 or 3 according as {i,j} n {k,l} consists of 2,0 or 1 element. In fact, if I{i,j} n {k,I}1 = 1 and j = k, then (ij)(kl) is the 3-cycle (ijl). After the preliminary papers [Fis66] and [Fis64] he succeeded in [Fis71J, [Fis69] to classify all finite 'nearly' simple groups generated by such a class of 3-transpositions, thereby discovering three new finite simple groups called M(22), M(23) and M(24). But even more important than his classification theorem was the fact that he originated a new method in the study of finite groups, which is called 'internal geometric analysis' by D. Gorenstein in his book: Finite Simple Groups, an Introduction to their Classification. In fact D. Gorenstein writes that this method can be regarded as second in importance for the classification of finite simple groups only to the local group-theoretic analysis created by J. Thompson.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 408 pp. Englisch. N� de r�f. du vendeur 9783034875967

Contacter le vendeur