Jørgensen groups of parabolic type III (uncountably infinite case)

Abstract

Jørgensen groups of parabolic type parametrized by three real parameters are divided into three types: finite type, countably infinite type and uncoutably infinite type. In the previous papers we found all Jørgensen groups of finite type and of countably infinite type. In this paper we find all Jørgensen groups of uncoutably infinite type. Consequently, the problem finding all Jørgensen groups of these parabolic type has been completely solved.