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arXiv · 2402.19003

GVZ-groups with two character degrees

Nabajit Talukdar·Kukil Kalpa Rajkhowa
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Abstract

We investigate the finite groups $G$ for which $\chi(1)^{2}=|G:Z(\chi)|$ for all characters $\chi \in Irr(G)$ and $|cd(G)|=2$. We obtain some alternate characterizations of these groups and we obtain some information regarding the structure of these groups.

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Nabajit Talukdar, Kukil Kalpa Rajkhowa. 2024-02-29. GVZ-groups with two character degrees. https://arxiv.org/abs/2402.19003

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