Hyperbolic space groups with truncated simplices as fundamental domains

Abstract

In previous papers are given numerous cases of groups with truncated simplices as fundamental domains. In order to finish this classification the supergroups of 44 simplicial domains with trunc-simplices as fundamental domains are reconsidered here. There are given 7 new cases of such groups with non-maximal fundamental series, belonging to different families. Also, there are investigated 12 new cases of groups in maximal fundamental series. These results are completing investigation of groups with fundamental trunc-simplices for the general case of parameters.