Full paper in PDF:
$%A. Melekoğlu, A family of M-surfaces whose automorphism groups act transitively on the
mirrors, Rev. Mat. Complut. 13 (2000), no. 1, 163–181.%$
ABSTRACT
Let be a compact Riemann surface of genus . A symmetry of is an anticonformal involution. The fixed point set of is a disjoint union of simple closed curves, each of which is called a mirror of . If fixes mirrors then it is called an M-symmetry and is called an M-surface. If admits an automorphism of order which cyclically permutes the mirrors of then we shall call an M-surface with the M-property. In this paper we investigate those M-surfaces with the M-property and their automorphism groups.
1991 Mathematics Subject Classification: 30F10.