Twin buildings and applications to S-arithmetic groups

著者

• Abramenko, Peter

書誌事項

Twin buildings and applications to S-arithmetic groups

Peter Abramenko

（Lecture notes in mathematics, 1641）

Springer, c1996

注記

Bibliography: p. 115-119

Includes indexes

内容説明・目次

内容説明

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.

目次

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

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA28873973
• ISBN:
  • 3540619739
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin
• ページ数/冊数: ix, 123 p.
• 大きさ: 24 cm
• 分類:
  • NDC8 : 411.6
  • NDC8 : 410.8
• 親書誌ID:
  • BA00146586