Groups where the centers of the irreducible characters form a chain II

Abstract

In this paper, we determine new characterizations of nested and nested GVZ-groups, including character-free characterizations, but we additionally show that nested groups and nested GVZ-groups can be defined in terms of the existence of certain normal series.

arXiv comment27 pages. This paper generalizes and provides a different method for obtaining the results in "Characterizations of nested GVZ-groups by central series," ArXiv 1907.409