On generalized M* - groups

Abstract

Let X be a compact bordered Klein surface of algebraic genus p >= 2 and let G = Gamma*/Lambda be a group of automorphisms of X where Gamma* is a non-euclidian chrystalographic group and Lambda is a bordered surface group. If the order of G is 4(q)/q-2)(p-1), for q >= 3 a prime number, then the signature of Gamma* is (0; +;[-] {(2,2,2,q)}). These groups of automorphisms are called generalized M*-groups. In this paper, we give some results and examples about generalized M*-groups. Then, we construct new generalized M*-groups from a generalized M*-group G (or not necessarily generalized M*-group).