Automorphism groups of real algebraic curves which are double covers of the real projective plane
A hyperelliptic Riemann surface is a two sheeted cover of the Riemann sphere. Their automorphism groups had been classified earlier by \textit{R. Brandt} and \textit{H. Stichtenoth} [Manuscr. Math. 55, 83-92 (1986; Zbl 0588.14022)] and \textit{E. Bujalance, J. M. Gamboa} and \textit{G. Gromadzki} [Manuscr. Math. 79, No. 3-4, 267-282 (1993; Zbl 0788.30031)]. Also for some hyperelliptic Klein surfaces, i.e. two sheeted covers of either the closed disc or the real projective plane, the classification of the automorphism groups was known in the case of covers of the disc [see \textit{E. Bujalance, J. J. Etayo, J. M. Gamboa} and \textit{G. Gromadzki}, ``Automorphism groups of compact bordered Klein surfaces. A combinatorial approach'', Lect. Notes Math. 1439 (1990; Zbl 0709.14021) and \textit{E. Bujalance, J. A. Bujalance, G. Gromadzki} and \textit{E. Martinez}, in: Group theory, Proc. Conf. Pusan 1988, Lect. Notes Math. 1398, 43-51 (1989; Zbl 0682.20035)]. The present paper classifies all automorphism groups for hyperelliptic Klein surfaces being two sheeted covers of the real projective plane.
scientific article; zbMATH DE number 1463441