Generalized M*-simple 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 an NEC group and Lambda is a bordered surface group. If the order of G is 4q/(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 define generalized M*-simple groups and give some examples of them. Also, we classify solvable generalized M*-simple groups.