Twin Buildings and Applications to S-Arithmetic Groups

Peter Abramenko

ISBN 10: 3540619739 / ISBN 13: 9783540619734

Verlag: Springer Berlin Heidelberg, 1996

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - 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.

Bestandsnummer des Verkäufers 9783540619734

Bibliografische Details

• Titel: Twin Buildings and Applications to S-Arithmetic Groups
• Verlag: Springer Berlin Heidelberg
• Erscheinungsjahr: 1996
• Sprache: Englisch
• ISBN-10: 3540619739
• ISBN-13: 9783540619734
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 235B x 155 H x 8 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 8 mm
• Gewicht: 224 Gramm

Über diesen Titel

Inhaltsangabe

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.