Character degrees of some $p$-groups

Avinoam Mann

Character degrees of some $p$-groups

Group Theory 2016-02-16 v1

Authors: Avinoam Mann

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 $p^{\frac{p+1}{2}}$ .

Keywords

character theory character theory of finite groups finite groups

Cite

@article{arxiv.1602.04689,
  title  = {Character degrees of some $p$-groups},
  author = {Avinoam Mann},
  journal= {arXiv preprint arXiv:1602.04689},
  year   = {2016}
}

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