Lecture Notes in Mathematics

Automorphism Groups of Compact Bordered Klein Surfaces

A Combinatorial Approach

Authors: Bujalance, E., Etayo, J.J., Gamboa, J.M., Gromadzki, G.

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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.

Table of contents (7 chapters)

  • Preliminary results

    Bujalance, Emilio (et al.)

    Pages 1-20

  • Klein surfaces as orbit spaces of NEC groups

    Bujalance, Emilio (et al.)

    Pages 21-37

  • Normal NEC subgroups of NEC groups

    Bujalance, Emilio (et al.)

    Pages 38-59

  • Cyclic groups of automorphisms of compact Klein surfaces

    Bujalance, Emilio (et al.)

    Pages 60-97

  • Klein surfaces with groups of automorphisms in prescribed families

    Bujalance, Emilio (et al.)

    Pages 98-137

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-540-47180-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA
  • ISBN 978-3-540-52941-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Automorphism Groups of Compact Bordered Klein Surfaces
Book Subtitle
A Combinatorial Approach
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1439
Copyright
1990
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-47180-6
DOI
10.1007/BFb0084977
Softcover ISBN
978-3-540-52941-5
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XIII, 212
Topics