A family of M-surfaces whose automorphism groups act transitively on the mirrors.

Melekoglu, Adnan. "A family of M-surfaces whose automorphism groups act transitively on the mirrors.." Revista Matemática Complutense 13.1 (2000): 163-181. <http://eudml.org/doc/44390>.

@article{Melekoglu2000,
abstract = {Let X be a compact Riemmann surface of genus g &gt; 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.},
author = {Melekoglu, Adnan},
journal = {Revista Matemática Complutense},
keywords = {Funciones de variable compleja; Superficies Riemann; Hipersuperficies compactas; Automorfismos; Grupos de simetría},
language = {eng},
number = {1},
pages = {163-181},
title = {A family of M-surfaces whose automorphism groups act transitively on the mirrors.},
url = {http://eudml.org/doc/44390},
volume = {13},
year = {2000},
}

TY - JOUR
AU - Melekoglu, Adnan
TI - A family of M-surfaces whose automorphism groups act transitively on the mirrors.
JO - Revista Matemática Complutense
PY - 2000
VL - 13
IS - 1
SP - 163
EP - 181
AB - Let X be a compact Riemmann surface of genus g &gt; 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.
LA - eng
KW - Funciones de variable compleja; Superficies Riemann; Hipersuperficies compactas; Automorfismos; Grupos de simetría
UR - http://eudml.org/doc/44390
ER -