Let X be a compact Riemmann surface of genus g > 1. A symmetry T of X is an anticonformal involution. The fixed point set of T is a disjoint union of simple closed curves, each of which is called a mirror of T. If T fixes g +1 mirrors then it is called an M-symmetry and X is called an M-surface. If X admits an automorphism of order g + 1 which cyclically permutes the mirrors of T then we shall call X an M-surface with the M-property. In this paper we investigate those M-surfaces with the M-property and their automorphism groups.
@article{urn:eudml:doc:44390,
title = {A family of M-surfaces whose automorphism groups act transitively on the mirrors.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {13},
year = {2000},
pages = {163-181},
zbl = {1053.30521},
mrnumber = {MR1794908},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44390}
}
Melekoglu, Adnan. A family of M-surfaces whose automorphism groups act transitively on the mirrors.. Revista Matemática de la Universidad Complutense de Madrid, Tome 13 (2000) pp. 163-181. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44390/