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Twin Buildings and Applications to S-Arithmetic Groups

  • Book
  • © 1996

Overview

Authors:
  1. Peter Abramenko
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1641)

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-IX
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  2. Introduction

    • Peter Abramenko
    Pages 1-10

  3. Groups acting on twin buildings

    • Peter Abramenko
    Pages 11-55

  4. Homotopy properties of ∮Δ0(a)∮

    • Peter Abramenko
    Pages 56-106

  5. Finiteness properties of classical F q over F q[t]

    • Peter Abramenko
    Pages 107-114

  6. Back Matter

    Pages 115-123
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Twin Buildings and Applications to S-Arithmetic Groups

  • Authors: Peter Abramenko

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0094079

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Softcover ISBN: 978-3-540-61973-4Published: 18 November 1996

  • eBook ISBN: 978-3-540-49570-3Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 130

  • Topics: Group Theory and Generalizations, K-Theory, Geometry

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