Groups where the centers of the irreducible characters form a chain II
Group Theory
2019-10-04 v1
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.
Keywords
Cite
@article{arxiv.1910.01156,
title = {Groups where the centers of the irreducible characters form a chain II},
author = {Shawn T. Burkett and Mark L. Lewis},
journal= {arXiv preprint arXiv:1910.01156},
year = {2019}
}
Comments
27 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