Automorphism Groups of (M-1)-surfaces with the M-property

Authors : Adnan Melekoğlu

Pages : 349-367

View : 20 | Download : 13

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :A compact Riemann surface X of genus g is called an (M-1)-surface if it admits an anticonformal involution that fixes g simple closed curves, the second maximum number by Harnack's theorem. If X also admits an automorphism of order g which cyclically permutes these g curves, then we shall call X an (M-1)-surface with the M-property. In this paper we investigate the automorphism groups of (M-1)-surfaces with the M-property.
Keywords : Riemann surface, (M-1)-surface.