RT Journal Article
T1 Alternating groups as automorphism groups of Riemann surfaces
A1 Etayo Gordejuela, José Javier
A1 Martínez García, Ernesto
AB 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.
PB World Scientific
SN 0218-1967
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/50031
UL https://hdl.handle.net/20.500.14352/50031
NO Etayo Gordejuela, J. J., & Martínez García, E. «ALTERNATING GROUPS AS AUTOMORPHISM GROUPS OF RIEMANN SURFACES». International Journal of Algebra and Computation, vol. 16, n.o 01, febrero de 2006, pp. 91-98. DOI.org (Crossref), https://doi.org/10.1142/S0218196706002937.
DS Docta Complutense
RD 3 abr 2025