Geometry of sporadic groups. 2, Representations and amalgams / A. A. Ivanov, S. V. Shpectorov.

Format:

Book

Author/Creator:

Ivanov, A. A., author.

Shpectorov, S. V. (Sergei V.), author.

Series:

Encyclopedia of mathematics and its applications ; v. 91.

Encyclopedia of mathematics and its applications ; volume 91

Language:

English

Subjects (All):

Sporadic groups (Mathematics).

Physical Description:

1 online resource (xviii, 286 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2002.

Language Note:

English

Summary:

This is the second volume in a two-volume set, which provides a complete self-contained proof of the classification of geometries associated with sporadic simple groups: Petersen and tilde geometries. The second volume contains a study of the representations of the geometries under consideration in GF(2)-vector spaces as well as in some non-abelian groups. The central part is the classification of the amalgam of maximal parabolics, associated with a flag transitive action on a Petersen or tilde geometry. The classification is based on the method of group amalgam, the most promising tool in modern finite group theory. Via their systematic treatment of group amalgams, the authors establish a deep and important mathematical result. This book will be of great interest to researchers in finite group theory, finite geometries and algebraic combinatorics.

Contents:

pt. 1. Representations

pt. 2. Amalgams.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-139-88242-2

0-511-97152-4

1-107-10337-1

1-4619-4144-X

1-107-08909-3

1-107-09530-1

0-511-55024-3

1-107-09204-3

OCLC:

862939768