Some results on O∗-groups

Sebahattin ikikardes ^[1] ; Recep Sahin ^[1]
1. [1] Balıkesir University
  
  Balıkesir University
  
  Turquía
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 53, Nº. 2, 2012, págs. 25-30
Idioma: inglés
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Resumen
- A compact Klein surface with boundary of algebraic genus g ≥ 2 has at most 12(g−1) automorphisms. When a surface attains this bound, it has maximal symmetry, and the group of automorphisms is then called an M∗-group. If a finite group G of odd order acts on a bordered Klein surface X of algebraic genus g ≥ 2, then |G| ≤ 3(g − 1). If G acts with the largest possible order 3(g − 1), then G is called an O∗-group. In this paper, using the results about some normal subgroups of the extended modular group Γ, we obtain some results about O∗-groups. Also, we give the relationships between O∗-groups and M∗-groups.