ENGLISH

Geometry of Sporadic Groups II: Representations and Amalgams (Encyclopedia of Mathematics and its Applications 91)

By A. A. Ivanov , S. V. Shpectorov

Book information

Publisher
Cambridge University Press
Year
2002
ISBN
0521623499, 9780521623490
LCC
QA177 .I93 1999
Open Library ID
OL21441602M
Language
english
Format
PDF
Filesize
7 MB (7185616 bytes)
Edition
1
Pages
304\305
Scanned
yes
Time added
2012-03-17 06:00:00

Description

This second volume in a two-volume set provides a complete self-contained proof of the classification of geometries associated with sporadic simple groups: Petersen and tilde geometries. It 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. By way of their systematic treatment of group amalgams, the authors establish a deep and important mathematical result.

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