GVZ-groups with two character degrees

Nabajit Talukdar; Kukil Kalpa Rajkhowa

GVZ-groups with two character degrees

Group Theory 2024-04-12 v2

Authors: Nabajit Talukdar , Kukil Kalpa Rajkhowa

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.

Keywords

character theory finite group theory character theory of finite groups

Cite

@article{arxiv.2402.19003,
  title  = {GVZ-groups with two character degrees},
  author = {Nabajit Talukdar and Kukil Kalpa Rajkhowa},
  journal= {arXiv preprint arXiv:2402.19003},
  year   = {2024}
}

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