Articles liés à EOM: 76 Geometry Sporadic Groups v1

EOM: 76 Geometry Sporadic Groups v1 - Couverture souple

Livre 63 sur 188: Encyclopedia of Mathematics and its Applications

Ivanov, A. A.

 
9780521062831: EOM: 76 Geometry Sporadic Groups v1
Couverture souple
ISBN 10 : 0521062837 ISBN 13 : 9780521062831
Editeur : Cambridge University Press, 2008

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.

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Éditeur
Cambridge University Press
Date d'édition
2008
Langue
anglais
ISBN 10 
0521062837
ISBN 13 
9780521062831
Reliure
Broché
Numéro d'édition
1
Nombre de pages
424
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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Dardilly
France