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The full automorphism groups of hyperelliptic Riemann surfaces

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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.

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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.

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Bujalance, E., Gamboa, J.M. & Gromadzki, G. The full automorphism groups of hyperelliptic Riemann surfaces. Manuscripta Math 79, 267–282 (1993). https://doi.org/10.1007/BF02568345

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