A Schottky description of a Theorem of Conder-Maclahlan-Vasiljevic-Wilson
نویسندگان
چکیده
In a recently paper of Conder-Maclahlan-Vasiljevic-Wilson [7]it has been proved that for every positive integer g > 2 there exists a closed non-orientable surface of algebraic genus g with at least 4(g + 1) automorphisms if g is even, or at least 8(g − 1) automorphisms if g is odd. The main purpose of this note is to provide explicitly such kind of situations in terms of Schottky groups. We also provide a construction of closed non-orientable surfaces of algebraic genus g, for infinite many values of integers g > 2, so that they admit a group of automorphisms of order 12(g − 1) which can be reflected by Schottky groups.
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