Cirre, F.J. and Gamboa Mutuberria, José Manuel
(2000)
*On the problem of finding the full automorphism group of a compact Klein surface.*
In
Contribuciones Matemáticas. Homenaje al Prof. D. Joaquín Arregui Fernández.
Universidad Complutense de Madrid, pp. 105-126.
ISBN 84-7491-581-3

## Abstract

The paper under review surveys most known results about the following problem: let $X$ be a compact topological surface of algebraic genus $p>1$, with or without boundary, orientable or not. How to calculate all groups acting as the full automorphism group of some structure of Klein surface having $X$ as underlying topological surface? It must be remarked that from Riemann's uniformization theorem, and since $\Aut(X)$ has no more than 168 $(p-1)$ automorphisms (including the orientation-reversing ones), this problem is of a finite nature. In practice this is an unaccessible task except for low values of $p$ or some extra conditions on the surfaces one is dealing with.

Item Type: | Book Section |
---|---|

Uncontrolled Keywords: | automorphism groups; n.e.c. group; algebraic equation; Klein surfaces |

Subjects: | Sciences > Mathematics > Algebra |

ID Code: | 17249 |

Deposited On: | 28 Nov 2012 10:13 |

Last Modified: | 28 Nov 2012 10:13 |

Repository Staff Only: item control page