A family of M-surfaces whose automorphism groups act transitively on the mirrors
- Autores: A. Melekoglu
- Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 13, Nº 1, 2000, págs. 163-182
- Idioma: inglés
- DOI: 10.5209/rev_rema.2000.v13.n1.17096
- Enlaces
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Resumen
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.
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