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  1. Home
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  3. Geometry of Sporadic Groups
  • Cited by 12
  • Volume 2: Representations and Amalgams
  • A. A. Ivanov, Imperial College of Science, Technology and Medicine, London, S. V. Shpectorov, Bowling Green State University, Ohio
Publisher:
Cambridge University Press
Online publication date:
July 2010
Print publication year:
2002
Online ISBN:
9780511550249
DOI:
https://doi.org/10.1017/CBO9780511550249
Subjects:
Mathematics (general), Mathematics, Real and Complex Analysis, Algebra
Series:
Encyclopedia of Mathematics and its Applications (91)
Information

Book description

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.

Reviews

'The book is written with obvious care and the arguments are usually not difficult to follow. The authors have also taken care with summaries and overviews that ease understanding of the general strategy of the proof.'

Source: European Mathematical Society

'… written with obvious care …'.

Source: EMS Newsletter

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