Character degrees of normally monomial p-groups of maximal class

Dongfang Yang; Heng Lv

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Character degrees of normally monomial p-groups of maximal class

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arxiv 2209.05021 v1 pith:ATMDKQRV submitted 2022-09-12 math.GR

Dongfang Yang , Heng Lv This is my paper · ORCID

classification math.GR

keywords monomialnormallycharacterclassirreduciblemaximalcharactersdegree

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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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