Character degrees of some $p$-groups

Avinoam Mann

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arXiv · 1602.04689

Character degrees of some $p$-groups

Avinoam Mann

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Abstract

We restrict the possibilities for the character degrees of $p$-groups $G$ satisfying $|G:G'| = p^2$. E.g. if $G$ is of maximal class and has an irreducible character of degree $> p$, then it has such a character of degree at most $p^{\frac{p+1}{2}}$.

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Avinoam Mann. 2016-02-15. Character degrees of some $p$-groups. https://arxiv.org/abs/1602.04689

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