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Twin Buildings and Applications to S-Arithmetic Groups

Twin Buildings and Applications to S-Arithmetic Groups
Catalogue Information
Field name Details
Dewey Class 512.2
Title Twin Buildings and Applications to S-Arithmetic Groups ([EBook] /) / by Peter Abramenko.
Author Abramenko, Peter
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1996.
Physical Details X, 130 p. : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 1641
ISBN 9783540495703
Summary Note 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.:
Contents note Groups acting on twin buildings -- Homotopy properties of ??0(a)? -- Finiteness properties of classical F q over F q[t].
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/BFb0094079
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Catalogue Information 43905 Beginning of record . Catalogue Information 43905 Top of page .

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