Twin Buildings and Applications to S-Arithmetic Groups

Peter Abramenko

ISBN 10: 3540619739 / ISBN 13: 9783540619734

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1996, 1996

About this Item

Neuware -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. 140 pp. Englisch.

Seller Inventory # 9783540619734

Bibliographic Details

• Title: Twin Buildings and Applications to S-Arithmetic Groups
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1996
• Publication Date: 1996
• Language: English
• ISBN 10: 3540619739
• ISBN 13: 9783540619734
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 8D millimeters 235 millimeters width by 155 millimeters height by 8 millimeters depth
• Weight: 224 grams

About this title

Synopsis

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.