A characterization of GVZ groups in terms of fully ramified characters
Shawn T. Burkett, Mark L. Lewis
TL;DR
This paper characterizes GVZ-groups using commutators and monolithic quotients, leveraging Gallagher's counting formulas to provide new insights into their structure.
Contribution
It introduces a novel characterization of GVZ-groups based on commutators and monolithic quotients, expanding understanding of their algebraic properties.
Findings
New characterization of GVZ-groups
Use of Gallagher's counting formulas
Insights into group structure and properties
Abstract
In this paper, we obtain a characterization of GVZ-groups in terms of commutators and monolithic quotients. This characterization is based on counting formulas due to Gallagher.
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Taxonomy
TopicsFinite Group Theory Research · Geometric and Algebraic Topology · Rings, Modules, and Algebras