Twin Buildings and Applications to S-Arithmetic Groups

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 sph...