Articles liés à Geometry of Sporadic Groups: Volume 1, Petersen and...

Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries - Couverture rigide

Livre 63 sur 188: Encyclopedia of Mathematics and its Applications

Ivanov, A. A.

 
9780521413626: Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries
Couverture rigide
ISBN 10 : 0521413621 ISBN 13 : 9780521413626
Editeur : Cambridge University Press, 1999

Synopsis

This book is the first volume in a two-volume set, which will provide the complete proof of classification of two important classes of geometries, closely related to each other: Petersen and tilde geometries. There is an infinite family of tilde geometries associated with non-split extensions of symplectic groups over a field of two elements. Besides that there are twelve exceptional Petersen and tilde geometries. These exceptional geometries are related to sporadic simple groups, including the famous Monster group and this volume gives a construction for each of the Petersen and tilde geometries which provides an independent existence proof for the corresponding automorphism group. Important applications of Petersen and Tilde geometries are considered, including the so-called Y-presentations for the Monster and related groups, and a complete indentification of Y-groups is given. This is an essential purchase for researchers into finite group theory, finite geometries and algebraic combinatorics.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book is the first volume in a two-volume set, which will provide the complete proof of classification of two important classes of geometries, closely related to each other: Petersen and tilde geometries. There is an infinite family of tilde geometries associated with non-split extensions of symplectic groups over a field of two elements. Besides that there are twelve exceptional Petersen and tilde geometries. These exceptional geometries are related to sporadic simple groups, including the famous Monster group and this volume gives a construction for each of the Petersen and tilde geometries which provides an independent existence proof for the corresponding automorphism group. Important applications of Petersen and Tilde geometries are considered, including the so-called Y-presentations for the Monster and related groups, and a complete indentification of Y-groups is given. This is an essential purchase for researchers into finite group theory, finite geometries and algebraic combinatorics.

Revue de presse

Review of the hardback: '... this book is an essential purchase for researcher in finite group theory, finite geometries and algebraic combinatorics.' Anatoli Kondrat'ev, Zentralblatt für Mathematik

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
1999
Langue
anglais
ISBN 10 
0521413621
ISBN 13 
9780521413626
Reliure
Relié
Numéro d'édition
1
Nombre de pages
424
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France

Autres éditions populaires du même titre

9780521062831: EOM: 76 Geometry Sporadic Groups v1

Edition présentée

ISBN 10 :  0521062837 ISBN 13 :  9780521062831
Editeur : Cambridge University Press, 2008
Couverture souple