Twin buildings and applications to S-arithmetic groups /
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| Author / Creator: | Abramenko, Peter, 1960- |
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| Imprint: | Berlin ; New York : Springer Verlag, 1996. |
| Description: | ix, 123 p. ; 24 cm. |
| Language: | English |
| Series: | Lecture notes in mathematics ; 1641 Lectures notes in mathematics (Springer-Verlag) ; 1641. |
| Subject: | Buildings (Group theory) Finite geometries. Buildings (Group theory) Finite geometries. |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/2571573 |
| 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. |
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| Physical Description: | ix, 123 p. ; 24 cm. |
| Bibliography: | Includes bibliographical references (p. 115-119) and indexes. |
| ISBN: | 3540619739 (softcover : alk. paper) |