Twin Buildings and Applications to S-Arithmetic Groups
Abramenko, Peter.
Twin Buildings and Applications to S-Arithmetic Groups [electronic resource] / by Peter Abramenko. - X, 130 p. online resource. - Lecture Notes in Mathematics, 1641 0075-8434 ; . - Lecture Notes in Mathematics, 1641 .
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.
9783540495703
10.1007/BFb0094079 doi
Group theory.
K-theory.
Geometry.
Group Theory and Generalizations.
K-Theory.
Geometry.
QA174-183
512.2
Twin Buildings and Applications to S-Arithmetic Groups [electronic resource] / by Peter Abramenko. - X, 130 p. online resource. - Lecture Notes in Mathematics, 1641 0075-8434 ; . - Lecture Notes in Mathematics, 1641 .
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.
9783540495703
10.1007/BFb0094079 doi
Group theory.
K-theory.
Geometry.
Group Theory and Generalizations.
K-Theory.
Geometry.
QA174-183
512.2