Geometry of Sporadic Groups: Volume 2, Representations and Amalgams (Encyclopedia of Mathematics and its Applications, Series Number 91)
ISBN-13:
9780521623490
ISBN-10:
0521623499
Edition:
1
Author:
A.A. Ivanov, S. V. Shpectorov
Publication date:
2002
Publisher:
Cambridge University Press
Format:
Hardcover
304 pages
Category:
Medical
,
Encyclopedias & Subject Guides
,
Geometry & Topology
,
Mathematics
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Book details
ISBN-13:
9780521623490
ISBN-10:
0521623499
Edition:
1
Author:
A.A. Ivanov, S. V. Shpectorov
Publication date:
2002
Publisher:
Cambridge University Press
Format:
Hardcover
304 pages
Category:
Medical
,
Encyclopedias & Subject Guides
,
Geometry & Topology
,
Mathematics
Summary
Geometry of Sporadic Groups: Volume 2, Representations and Amalgams (Encyclopedia of Mathematics and its Applications, Series Number 91) (ISBN-13: 9780521623490 and ISBN-10: 0521623499), written by authors
A.A. Ivanov, S. V. Shpectorov, was published by Cambridge University Press in 2002.
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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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