Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries (Encyclopedia of Mathematics and its Applications) (Vol 1)

Ivanov, A. A.

ISBN 10: 0521413621 / ISBN 13: 9780521413626

Published by Cambridge University Press, 1999

Hardback book in nearly new condition with just a small publisher's 'damaged' stamp; even so not showing any defects, no splits, no cracks, no pen-marks, just some very minor surface rubbing and moderate shelf wear. Contents are crisp, tight and fresh. Thus a never read book still in very presentable condition now offered for sale at a sensible price. Seller Inventory # 106935

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.

Review: 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

Bibliographic Details

Title: Geometry of Sporadic Groups: Volume 1, ...
Publisher: Cambridge University Press
Publication Date: 1999
Binding: Hardcover
Condition: Like New
Edition: First Edition.