Twin Buildings and Applications to S-Arithmetic Groups

by Peter Abramenko

Overview

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.

Product Details

ISBN-13:	9783540619734
Publisher:	Springer Berlin Heidelberg
Publication date:	12/05/1996
Series:	Lecture Notes in Mathematics , #1641
Edition description:	1996
Pages:	130
Product dimensions:	6.10(w) x 9.25(h) x 0.01(d)

Table of Contents

Groups acting on twin buildings.- Homotopy properties of—?0(a)?.- Finiteness properties of classical F q over F q[t].