RT Journal Article T1 Non-orientable automorphisms of Riemann surfaces A1 Etayo Gordejuela, José Javier AB We study cyclic groups of automorphisms of Riemann surfaces that contain non-orientable elements. We obtain conditions for such a group, and calculate the minimum possible genus of the surface on which it acts. As a consequence of these results we obtain that the order of a sense- reversing automorphism of a Riemann surface of genus g is at most $4g+4$ for even g and 4g-4 for odd g, and that both bounds are attained for every g. PB Birkhäuser Verlag SN 0003-889X YR 1985 FD 1985 LK https://hdl.handle.net/20.500.14352/64647 UL https://hdl.handle.net/20.500.14352/64647 NO Etayo Gordejuela, J. J. «Non-Orientable Automorphisms of Riemann Surfaces». Archiv Der Mathematik, vol. 45, n.o 4, octubre de 1985, pp. 374-84. DOI.org (Crossref), https://doi.org/10.1007/BF01198242. NO Comisión Asesora de Investigatión Científica y Técnica DS Docta Complutense RD 7 abr 2025