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Buildings

  • Book
  • © 1989

Overview

Authors:
  1. Kenneth S. Brown

    1. Department of Mathematics, Cornell University, Ithaca, USA

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-viii
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  2. Finite Reflection Groups

    • Kenneth S. Brown
    Pages 1-32

  3. Abstract Reflection Groups

    • Kenneth S. Brown
    Pages 33-57

  4. Coxeter Complexes

    • Kenneth S. Brown
    Pages 58-75

  5. Buildings

    • Kenneth S. Brown
    Pages 76-98

  6. Buildings and Groups

    • Kenneth S. Brown
    Pages 99-138

  7. Euclidean Buildings

    • Kenneth S. Brown
    Pages 139-182

  8. Applications to Group Cohomology

    • Kenneth S. Brown
    Pages 183-205

  9. Back Matter

    Pages 206-215
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics, Cornell University, Ithaca, USA

    Kenneth S. Brown

Bibliographic Information

  • Book Title: Buildings

  • Authors: Kenneth S. Brown

  • DOI: https://doi.org/10.1007/978-1-4612-1019-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1989

  • Hardcover ISBN: 978-0-387-96876-6Due: 09 November 1988

  • Softcover ISBN: 978-1-4612-6987-8Published: 15 April 2013

  • eBook ISBN: 978-1-4612-1019-1Published: 29 June 2013

  • Edition Number: 1

  • Number of Pages: VIII, 215

  • Additional Information: Originally published as a monograph

  • Topics: Group Theory and Generalizations

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