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.
General
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