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

2019/10/02 by Burkett, Shawn T., Lewis, Mark L.
#20C15 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1910.01156

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.

Related

• Characterizations of nested GVZ-groups by central series
• Groups where the centers of the irreducible characters form a chain
• A characterization of GVZ groups in terms of fully ramified characters
• Partial GVZ-groups
• GVZ-groups, Flat Groups, and CM-Groups