Twin buildings and applications to S-arithmetic groups /

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Bibliographic Details
Author / Creator:Abramenko, Peter, 1960-
Imprint:Berlin ; New York : Springer Verlag, 1996.
Description:1 online resource (ix, 123 pages).
Series:Lecture notes in mathematics, 0075-8434 ; 1641
Lecture notes in mathematics (Springer-Verlag) ; 1641.
Subject:Buildings (Group theory)
Finite geometries.
Buildings (Group theory)
Finite geometries.
S-arithmetische Gruppe.
Electronic books.
Format: E-Resource Book
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Notes:Includes bibliographical references (pages 115-119) and indexes.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
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Print version record.
Summary: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.
Other form:Print version: Abramenko, Peter, 1960- Twin buildings and applications to S-arithmetic groups. New York : Springer Verlag, 1996 3540619739