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The Theory of Finite Linear Spaces

The Theory of Finite Linear Spaces

The Theory of Finite Linear Spaces

Combinatorics of Points and Lines
Lynn Margaret Batten , University of Manitoba, Canada
Albrecht Beutelspacher , Justus-Liebig-Universität Giessen, Germany
June 2009
Paperback
9780521114189

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    This 1994 text covers finite linear spaces. It contains all the important results that had been published up to the time of publication, and is designed to be used not only as a resource for researchers in this and related areas, but also as a graduate-level text. In eight chapters the authors introduce and review fundamental results, and go on to cover the major areas of interest in linear spaces. A combinatorial approach is used for the greater part of the book, but in the final chapter recent advances in group theory relating to finite linear spaces are presented. At the end of each chapter there is a set of exercises which are designed to test comprehension of the material, and there is also a section of problems for researchers. It will be an invaluable book for researchers in geometry and combinatorics as well as forming an excellent text for graduate students.

    Reviews & endorsements

    "...designed both as a reference work for researchers and as a possible text for a graduate course..." Luc Teirlinck, Mathematical Reviews

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    Product details

    March 2011
    Adobe eBook Reader
    9780511872303
    0 pages
    0kg
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    Table of Contents

    • 1. Essentials
    • 2. Restricted linear spaces
    • 3. Line sizes
    • 4. Semi-affine linear spaces
    • 5. Complementation
    • 6. General configurations
    • 7. n-Dimensional linear spaces
    • 8. Groups
    • Appendix.
      Authors
    • Lynn Margaret Batten , Deakin University, Victoria
    • Albrecht Beutelspacher , Justus-Liebig-Universität Giessen, Germany