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Alternating groups as automorphism groups of Riemann surfaces


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

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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
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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Last Modified:28 Jun 2012 09:30

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