Character degrees of normally monomial p-groups of maximal class

Dongfang Yang; Heng Lv

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arXiv · 2209.05021

Character degrees of normally monomial p-groups of maximal class

Dongfang Yang·Heng Lv

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Abstract

A finite group $G$ is $normally ~monomial$ if all its irreducible characters are induced from linear characters of normal subgroups of $G$. In this paper, we determine all possible irreducible character degree sets of normally monomial 5-groups of maximal class. Moreover, we give an upper bound for the largest irreducible character degree of normally monomial $p$-groups of maximal class in terms of $p$.

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Dongfang Yang, Heng Lv. 2022-09-12. Character degrees of normally monomial p-groups of maximal class. https://arxiv.org/abs/2209.05021

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