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arXiv · 1909.05841

GVZ-groups, Flat Groups, and CM-Groups

Shawn T. Burkett·Mark L. Lewis
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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.

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Shawn T. Burkett, Mark L. Lewis. 2019-09-12. GVZ-groups, Flat Groups, and CM-Groups. https://arxiv.org/abs/1909.05841

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