Details

Autor(en) / Beteiligte

• Abramenko, Peter

Titel

Twin Buildings and Applications to S-Arithmetic Groups

Ist Teil von

• Lecture Notes in Mathematics : 1641

Ort / Verlag

Berlin, Heidelberg : Springer Berlin Heidelberg

Erscheinungsjahr

1996

Beschreibungen/Notizen

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