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- catalog abstract "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.".
- catalog contributor b10099431.
- catalog created "1996.".
- catalog date "1996".
- catalog date "1996.".
- catalog dateCopyrighted "1996.".
- catalog description "Includes bibliographical references and indexes.".
- catalog 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.".
- catalog extent "ix, 123 p. ;".
- catalog identifier "3540619739 (softcover : alk. paper)".
- catalog isPartOf "Lecture notes in mathematics ; 1641".
- catalog isPartOf "Lectures notes in mathematics (Springer-Verlag) ; 1641.".
- catalog issued "1996".
- catalog issued "1996.".
- catalog language "eng".
- catalog publisher "New York : Springer Verlag,".
- catalog subject "510 s 512/.2 21".
- catalog subject "Buildings (Group theory)".
- catalog subject "Finite geometries.".
- catalog subject "Geometry.".
- catalog subject "Group theory.".
- catalog subject "K-theory.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1641 QA174.2".
- catalog title "Twin buildings and applications to S-arithmetic groups / Peter Abramenko.".
- catalog type "text".