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Twin Buildings and Applications to S-Arithmetic Groups
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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
Links to Related Works
Subject References:
Geometry
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Group theory
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Group Theory and Generalizations
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K-Theory
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Mathematics
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Authors:
Abramenko, Peter
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
512.2
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