Geometry of Sporadic Groups Volume 1 Petersen and Tilde Geometries 1st Edition by Ivanov ISBN 978-0521413626 0521413621
Original price was: $50.00.$35.00Current price is: $35.00.
Geometry of Sporadic Groups Volume 1 Petersen and Tilde Geometries 1st Edition by A. A. Ivanov- Ebook PDF Instant Download/Delivery: 978-0521413626, 0521413621
Full download Geometry of Sporadic Groups Volume 1 Petersen and Tilde Geometries 1st Edition after payment
Product details:
ISBN 10: 0521413621
ISBN 13: 978-0521413626
Author: A. A. Ivanov
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 nonsplit 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 that 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 identification of Y-groups is given. This is an essential purchase for researchers in finite group theory, finite geometries and algebraic combinatorics.
Table of contents:
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
People also search for:
geometry of space
geometry of spheres
groups of homotopy spheres
group of symmetries
geometry partitioning segments worksheet