, Volume 79, Issue 1, pp 267-282

The full automorphism groups of hyperelliptic Riemann surfaces

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Abstract

For every integer g≥2 we obtain the complete list of groups acting as the full automorphisms groups on hyperelliptic Riemann surfaces of genus g.

Partially supported by DGICYT PB 89-201 and Science Plan 910021
Partially supported by DGICYT PB 89/379/C02/01 and Science Plan 910021
Partially supported by DGICYT
After the typing of this paper we have heard about a Ph.D. Thesis by Britta Krapp on questions related to the problem studied here.