GVZ-groups with two character degrees

Fuente: arXiv
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Auteurs principaux: Talukdar, Nabajit, Rajkhowa, Kukil Kalpa
Format: Preprint
Publié: 2024
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author Talukdar, Nabajit
Rajkhowa, Kukil Kalpa
author_facet Talukdar, Nabajit
Rajkhowa, Kukil Kalpa
contents We investigate the finite groups $G$ for which $χ(1)^{2}=|G:Z(χ)|$ for all characters $χ\in Irr(G)$ and $|cd(G)|=2$. We obtain some alternate characterizations of these groups and we obtain some information regarding the structure of these groups.
format Preprint
id arxiv_https___arxiv_org_abs_2402_19003
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle GVZ-groups with two character degrees
Talukdar, Nabajit
Rajkhowa, Kukil Kalpa
Group Theory
We investigate the finite groups $G$ for which $χ(1)^{2}=|G:Z(χ)|$ for all characters $χ\in Irr(G)$ and $|cd(G)|=2$. We obtain some alternate characterizations of these groups and we obtain some information regarding the structure of these groups.
title GVZ-groups with two character degrees
topic Group Theory
url https://arxiv.org/abs/2402.19003