paper

GVZ-groups, Flat Groups, and CM-Groups

arXiv:1909.05841

Abstract

We show that a group is a GVZ-group if and only if it is a flat group. We show that the nilpotence class of a GVZ-group is bounded by the number of distinct degrees of irreducible characters. We also show that certain CM-groups can be characterized as GVZ-groups whose irreducible character values lie in the prime field.

8 pages - Based on referee's report for the previous paper "GVZ-groups", that was substantially revised and subsumed by this paper

GVZ-groups, Flat Groups, and CM-Groups · wovepaper