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Twin Buildings and Applications to S-Arithmetic Groups (Lecture Notes in Mathematics)
Title:

Twin Buildings and Applications to S-Arithmetic Groups (Lecture Notes in Mathematics)

Author:
Peter Abramenko
ISBN:
3540619739
ePub book size:
1621 kb
PDF book size:
1449 kb
Other formats:
DJVU, CB7, AZF, PDF, iBOOKS
ISBN13
978-3540619734
Rating:
4.7 of 5
Votes:
528
Publisher:
Springer; 1996 edition (December 5, 1996)
Language:
English
Subcatergory:
Mathematics
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.
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