Geometry of Sporadic Groups: Volume 2, Representations and Amalgams

Encyclopedia of Mathematics and its Applications #91

by A.A. Ivanov, S. V. Shpectorov

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.

304 pages, Hardcover

First published January 1, 1999

About the author

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Alexander A. Ivanov - Professor at Scientific Research Institute of System Analysis of Russian Academy of Science