Buildings

  • Kenneth S. Brown

Table of contents

  1. Front Matter
    Pages i-viii
  2. Kenneth S. Brown
    Pages 1-32
  3. Kenneth S. Brown
    Pages 33-57
  4. Kenneth S. Brown
    Pages 58-75
  5. Kenneth S. Brown
    Pages 76-98
  6. Kenneth S. Brown
    Pages 99-138
  7. Kenneth S. Brown
    Pages 139-182
  8. Kenneth S. Brown
    Pages 183-205
  9. Back Matter
    Pages 206-215

About this book

Introduction

For years I have heard about buildings and their applications to group theory. I finally decided to try to learn something about the subject by teaching a graduate course on it at Cornell University in Spring 1987. This book is based on the not es from that course. The course started from scratch and proceeded at a leisurely pace. The book therefore does not get very far. Indeed, the definition of the term "building" doesn't even appear until Chapter IV. My hope, however, is that the book gets far enough to enable the reader to tadle the literat ure on buildings, some of which can seem very forbidding. Most of the results in this book are due to J. Tits, who originated the the­ ory of buildings. The main exceptions are Chapter I (which presents some classical material), Chapter VI (which prcsents joint work of F. Bruhat and Tits), and Chapter VII (which surveys some applications, due to var­ ious people). It has been a pleasure studying Tits's work; I only hope my exposition does it justice.

Keywords

DEX Finite Group theory Microsoft Access Scratch cohomology geometry group homology mathematics minimum reflection topology

Authors and affiliations

  • Kenneth S. Brown
    • 1
  1. 1.Department of MathematicsCornell UniversityIthacaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1019-1
  • Copyright Information Springer-Verlag New York Inc. 1989
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6987-8
  • Online ISBN 978-1-4612-1019-1
  • About this book