July 15, 2024Open Access

Some results on GVZ-groups with two character degrees

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Abstract

We investigate the finite groups G for which (1) ^2=|G: Z () | for all characters Irr (G) and |cd (G) |=2, where cd (G) =\ (1) | Irr (G) \. We call such a group a GVZ-group with two character degrees. We establish bijections between the sets of characters of some groups obtained from a GVZ-group with two character degrees. Additionally we obtain some alternate characterizations of a GVZ-group with two character degrees and we construct a GVZ-group having the character degree set \1, p\.

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Talukdar et al. (Mon,) studied this question.

synapsesocial.com/papers/68e60550b6db64358759896d https://doi.org/https://doi.org/10.48550/arxiv.2407.10572

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