Look Inside Geometry of Sporadic Groups

Geometry of Sporadic Groups

Volume 1. Petersen and Tilde Geometries

Part of Encyclopedia of Mathematics and its Applications

Author: A. A. Ivanov, Imperial College of Science, Technology and Medicine, London

Date Published: May 2008
availability: Available
format: Paperback
isbn: 9780521062831

Rate & review

Paperback

Add to wishlist

Other available formats:
Hardback, eBook

Looking for an inspection copy?

This title is not currently available for inspection. However, if you are interested in the title for your course we can consider offering an inspection copy. To register your interest please contact asiamktg@cambridge.org providing details of the course you are teaching.

Description

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.
- Presents for the first time a self-contained construction of many sporadic group including the Monster group
- Parts of the book are suitable for graduate courses
- Author is widely respected for his work in this area
Read more
Reviews & endorsements
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

Customer reviews

Not yet reviewed
Be the first to review

Log in to review

Review was not posted due to profanity
×

, create a review

(If you're not , sign out)

Please enter the right captcha value

Please enter a star rating.

Your review must be a minimum of 12 words.

How do you rate this item?

Reviews must contain at least 12 words about the product.

×

Product details
- Date Published: May 2008
- format: Paperback
- isbn: 9780521062831
- length: 424 pages
- dimensions: 229 x 153 x 24 mm
- weight: 0.642kg
- contains: 25 b/w illus.
- availability: Available
Table of Contents
Preface
1. Introduction
2. Mathieu groups
3. Geometry of Mathieu groups
4. Conway groups
5. The monster
6. From Cn- to Tn-geometries
7. 2-covers of P-geometries
8. Y-groups
9. Locally projective graphs
Bibliography
Index.
Look Inside
Author
A. A. Ivanov, Imperial College of Science, Technology and Medicine, London