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

Revista Matemática Complutense (2000)

- Volume: 13, Issue: 1, page 163-181
- ISSN: 1139-1138

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topMelekoglu, 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 > 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 > 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 -

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