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© 1997

Finite Geometries

Reprint of the 1968 Edition

Book

Part of the Classics in Mathematics book series (volume 44)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Peter Dembowski
    Pages 1-55
  3. Peter Dembowski
    Pages 56-114
  4. Peter Dembowski
    Pages 115-168
  5. Peter Dembowski
    Pages 169-218
  6. Peter Dembowski
    Pages 219-251
  7. Peter Dembowski
    Pages 252-280
  8. Peter Dembowski
    Pages 281-317
  9. Back Matter
    Pages 318-379

About this book

Introduction

Reihentext + Finite Geometries From the reviews: "Such a vast amount of information as this book contains can only be accomplished in 375 pages by a very economical style of writing... it enables one to have a good look at the forest without being too detracted by the individual trees... The author deserves unstinting praise for the skill, energy, and perseverance which he devoted to this work. The finished product confirms what his many earlier contributions to the subject of finite geometry have already indicated, namely, that he is an undisputed leader in his field." Mathematical Reviews "Finite Geometries" is a very important area of finite mathematics characterized by an interplay of combinatorial, geometric, and algebraic ideas, in which research has been very active and intensive in recent years... makes it clear how large is the field covered by the author in his book. The material is selected most thoroughly, and the author made an effort to collect all that seems to be relevant in finite geometries for the time being... Dembowski's work will be a basic reference book of this field, and it will be considered as a base of the future research... Altogether this is a very well-produced monograph." Publicationes Mathematicae Debrecen 10, tom 16.

Keywords

Group theory Vector space finite Mathematics finite geometry finite projective plans

Authors and affiliations

  1. 1.Johann Wolfgang Goethe-UniversitätFrankfurt am MainGermany

About the authors

Biography of Peter Dembowski

Peter Dembowski was born in Berlin on April 1, 1928. After studying mathematics at the University of Frankfurt am Main, he pursued his graduate studies at Brown University and at the University of Illinois, mainly with Reinhold Baer.

Dembowski returned to Frankfurt in 1956. Shortly before his premature death in January 1971, he had been appointed to a chair at the University of Tübingen.

Dembowski taught at the universities of Frankfurt and Tübingen and - as visiting professor - in London (Queen Mary College), Rome, Madison, WI, and Chicago, IL.

Dembowski's chief research interest lay in the connections between finite geometries and group theory. His book "Finite Geometries", brought together essentially all that was known at that time about finite geometrical structures, including key results of the author, in a unified and structured perspective. This book became a standard reference as soon as it appeared in 1968. It influenced the expansion of combinatorial geometric research, and also left its trace in neigh-bouring areas.

Bibliographic information

  • Book Title Finite Geometries
  • Book Subtitle Reprint of the 1968 Edition
  • Authors Peter Dembowski
  • Series Title Classics in Mathematics
  • DOI https://doi.org/10.1007/978-3-642-62012-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-04100-9
  • Softcover ISBN 978-3-540-61786-0
  • eBook ISBN 978-3-642-62012-6
  • Series ISSN 0071-1136
  • Edition Number 1
  • Number of Pages XI, 379
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published as volume 44 in the series: Ergebnisse der Mathematik und ihrer Grenzgebiete
  • Topics Geometry
    Group Theory and Generalizations
  • Buy this book on publisher's site

Reviews

"Such a vast amount of information as this book contains can only be accomplished in 375 pages by a very economical style of writing... it enables one to have a good look at the forest without being too detracted by the individual trees... The author deserves unstinting praise for the skill, energy, and perseverance which he devoted to this work. The finished product confirms what his many earlier contributions to the subject of finite geometry have already indicated, namely, that he is an undisputed leader in his field." -Mathematical Reviews