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Automorphism Groups of Compact Bordered Klein Surfaces

A Combinatorial Approach

  • Book
  • © 1990

Overview

Authors:
  1. Emilio Bujalance
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  2. José Javier Etayo
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  3. José Manuel Gamboa
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  4. Grzegorz Gromadzki
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1439)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Preliminary results

    • Emilio Bujalance, José Javier Etayo, José Manuel Gamboa, Grzegorz Gromadzki
    Pages 1-20

  3. Klein surfaces as orbit spaces of NEC groups

    • Emilio Bujalance, José Javier Etayo, José Manuel Gamboa, Grzegorz Gromadzki
    Pages 21-37

  4. Normal NEC subgroups of NEC groups

    • Emilio Bujalance, José Javier Etayo, José Manuel Gamboa, Grzegorz Gromadzki
    Pages 38-59

  5. Cyclic groups of automorphisms of compact Klein surfaces

    • Emilio Bujalance, José Javier Etayo, José Manuel Gamboa, Grzegorz Gromadzki
    Pages 60-97

  6. Klein surfaces with groups of automorphisms in prescribed families

    • Emilio Bujalance, José Javier Etayo, José Manuel Gamboa, Grzegorz Gromadzki
    Pages 98-137

  7. The automorphism group of compact Klein surfaces with one boundary component

    • Emilio Bujalance, José Javier Etayo, José Manuel Gamboa, Grzegorz Gromadzki
    Pages 138-152

  8. The automorphism group of hyperelliptic compact Klein surfaces with boundary

    • Emilio Bujalance, José Javier Etayo, José Manuel Gamboa, Grzegorz Gromadzki
    Pages 153-164

  9. Back Matter

    Pages 165-201
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Keywords

About this book

This research monograph provides a self-contained approach to the problem of determining the conditions under which a compact bordered Klein surface S and a finite group G exist, such that G acts as a group of automorphisms in S. The cases dealt with here take G cyclic, abelian, nilpotent or supersoluble and S hyperelliptic or with connected boundary. No advanced knowledge of group theory or hyperbolic geometry is required and three introductory chapters provide as much background as necessary on non-euclidean crystallographic groups. The graduate reader thus finds here an easy access to current research in this area as well as several new results obtained by means of the same unified approach.

Bibliographic Information

  • Book Title: Automorphism Groups of Compact Bordered Klein Surfaces

  • Book Subtitle: A Combinatorial Approach

  • Authors: Emilio Bujalance, José Javier Etayo, José Manuel Gamboa, Grzegorz Gromadzki

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0084977

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1990

  • Softcover ISBN: 978-3-540-52941-5Published: 12 September 1990

  • eBook ISBN: 978-3-540-47180-6Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIII, 212

  • Topics: Algebraic Geometry, Group Theory and Generalizations, Analysis

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