Automorphism Groups of Compact Bordered Klein Surfaces

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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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.

• Crystallographic groups
• Grad
• Group theory
• Riemann surfaces
• algebraic curve
• non-euclidean Algebraic curves

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