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La geometrie des groupes classiques

Reihe: Gruppentheorie

  • Book
  • © 1963
  • Latest edition

Overview

Authors:
  1. Jean Dieudonné

Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge (MATHE2, volume 5)

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About this book

This book gives an excellent survey of recent work on classical groups, simplifying and unifying the results of many authors. No attempt is made to cover all of the voluminous literature on classical groups; the author deals with only that portion of the subject which can be handled by the methods of linear algebra. By thus restricting his scope, he is able to include proofs of most of the results described, thereby making the book more self-contained than most Ergebnisse tracts.



In the reviewer's opinion, this is an important and well-written book which should help to stimulate research on the classical groups. The book not only gives a thorough exposition of the present state of the subject, but is also an excellent introduction to the modern techniques basic to further work in this field. 

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Collinéations et Corrélations

    • Jean Dieudonné
    Pages 1-36

  3. Structure des groupes classiques

    • Jean Dieudonné
    Pages 36-77

  4. Caractérisations géomètriques des groupes classiques

    • Jean Dieudonné
    Pages 77-90

  5. Automorphismes et isomorphismes des groupes classiques

    • Jean Dieudonné
    Pages 90-116

  6. Back Matter

    Pages 116-125
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Bibliographic Information

  • Book Title: La geometrie des groupes classiques

  • Book Subtitle: Reihe: Gruppentheorie

  • Authors: Jean Dieudonné

  • Series Title: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge

  • DOI: https://doi.org/10.1007/978-3-662-59144-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag GmbH Germany, part of Springer Nature 1963

  • Hardcover ISBN: 978-3-540-02967-0Published: 01 January 1963

  • eBook ISBN: 978-3-662-59144-4Published: 04 June 2019

  • Edition Number: 2

  • Number of Pages: VIII, 125

  • Topics: Mathematics, general

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