Twin Buildings and Applications to S-Arithmetic Groups 1996 Edition Contributor(s): Abramenko, Peter (Author) |
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ISBN: 3540619739 ISBN-13: 9783540619734 Publisher: Springer OUR PRICE: $37.95 Product Type: Paperback Published: November 1996 |
Additional Information |
BISAC Categories: - Mathematics | Group Theory - Mathematics | Algebra - Abstract - Mathematics | Geometry - General |
Dewey: 512.2 |
LCCN: 96048283 |
Series: Lecture Notes in Computer Science |
Physical Information: 0.3" H x 6.14" W x 9.21" (0.45 lbs) 130 pages |
Descriptions, Reviews, Etc. |
Publisher Description: This book is addressed to mathematicians and advanced students interested in buildings, groups and their interplay. Its first part introduces - presupposing good knowledge of ordinary buildings - the theory of twin buildings, discusses its group-theoretic background (twin BN-pairs), investigates geometric aspects of twin buildings and applies them to determine finiteness properties of certain S-arithmetic groups. This application depends on topological properties of some subcomplexes of spherical buildings. The background of this problem, some examples and the complete solution for all "sufficiently large" classical buildings are covered in detail in the second part of the book. |