Twin Buildings and Applications to S-Arithmetic Groups

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Springer Berlin Heidelberg, Nov 18, 1996 - Mathematics - 130 pages
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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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Contents

Table of contents
1
Groups acting on twin buildings
11
Homotopy properties of Aa
56
Copyright

3 other sections not shown

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About the author (1996)

Kenneth S. Brown has been a professor at Cornell since 1971. He received his Ph.D. in 1971 from MIT. He has published many works, including Buildings with Springer-Verlag in 1989, reprinted in 1998.

Peter Abramenko received his Ph.D. in 1986 and has been a professor ever since, most recently since 2001 at the University of Virginia in Charlottesville. He has previously published Twin Buildings and Applications to S-Arithmetic Groups for the Lecture Notes in Mathematics series for Springer (1996).

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