### Impacto

Etayo Gordejuela, J. Javier and Pérez-Chirinos, C.
(1986)
*Bordered and unbordered Klein surfaces with maximal symmetry.*
Journal of Pure and Applied Algebra , 42
(1).
pp. 29-35.
ISSN 0022-4049

Official URL: http://www.sciencedirect.com/science/article/pii/0022404986900575

## Abstract

A compact Klein surface with boundary of algebraic genus g≥2 has at most 12(g−1) automorphisms. When a surface attains this bound we say that it has maximal symmetry, and the group of automorphisms is then an M group. In this paper we exhibit four new infinite families of M simple groups, and determine with the aid of a computer the groups PSL(n, q) of order less than 50,000 that are M groups. Using these results, we prove the existence of seven topologically different surfaces of algebraic genus 1013, all of them having maximal symmetry.

Item Type: | Article |
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Uncontrolled Keywords: | Klein surface; automorphism; maximal symmetry; ; simple group; computer-aided proof |

Subjects: | Sciences > Mathematics > Group Theory |

ID Code: | 15753 |

Deposited On: | 25 Jun 2012 10:43 |

Last Modified: | 25 Jun 2012 10:43 |

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