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Twin Buildings and Applications to S-Arithmetic Groups / by Peter Abramenko
(Lecture Notes in Mathematics. ISSN:16179692 ; 1641)

1st ed. 1996.
出版者 (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年 1996
大きさ X, 130 p : online resource
著者標目 *Abramenko, Peter author
SpringerLink (Online service)
件 名 LCSH:Group theory
LCSH:K-theory
LCSH:Geometry
FREE:Group Theory and Generalizations
FREE:K-Theory
FREE:Geometry
一般注記 Groups acting on twin buildings -- Homotopy properties of ??0(a)? -- Finiteness properties of classical F q over F q[t]
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
HTTP:URL=https://doi.org/10.1007/BFb0094079
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Springer eBooks 9783540495703
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データ種別 電子ブック
分 類 LCC:QA174-183
DC23:512.2
書誌ID 4000109584
ISBN 9783540495703

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