Etayo Gordejuela, J. Javier and Martínez García, Ernesto
(2006)
*Alternating groups as automorphism groups of Riemann surfaces.*
International Journal of Algebra and Computation, 16
(1).
pp. 91-98.
ISSN 0218-1967

Official URL: http://www.worldscinet.com/ijac/16/1601/S0218196706002937.html

## Abstract

In this work we give pairs of generators (x, y) for the alternating groups An, 5 ≤ n ≤ 19, such that they determine the minimal genus of a Riemann surface on which An acts as the automorphism group. Using these results we prove that A15 is the unique of these groups that is an H*-group, i.e., the groups achieving the upper bound of the order of an automorphism group acting on non-orientable unbordered surfaces.

Item Type: | Article |
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Uncontrolled Keywords: | Automorphisms; Fuchsian groups and their generalizations; Compact Riemann surfaces and uniformization; Klein surfaces |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 15792 |

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Deposited On: | 28 Jun 2012 09:30 |

Last Modified: | 28 Jun 2012 09:30 |

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