Geometry of Sporadic Groups II: Representations and Amalgams (Encyclopedia of Mathematics and its Applications 91)
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.
Thể loại:
Năm:
2002
In lần thứ:
1
Nhà xuát bản:
Cambridge University Press
Ngôn ngữ:
english
Trang:
304
ISBN 10:
0521623499
ISBN 13:
9780521623490
File:
PDF, 6.85 MB
IPFS:
,
english, 2002
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