Twin Buildings and Applications to S-Arithmetic Groups / by Peter Abramenko.

Format:

Book

Author/Creator:

Abramenko, Peter, 1960- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1641.

Lecture Notes in Mathematics, 0075-8434 ; 1641

Language:

English

Subjects (All):

Group theory.

K-theory.

Geometry.

Group Theory and Generalizations.

K-Theory.

Local Subjects:

Group Theory and Generalizations.

K-Theory.

Geometry.

Physical Description:

1 online resource (X, 130 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1996.

System Details:

text file PDF

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.

Contents:

Groups acting on twin buildings

Homotopy properties of ??0(a)?

Finiteness properties of classical F q over F q[t].

Other Format:

Printed edition:

ISBN:

9783540495703

Access Restriction:

Restricted for use by site license.