Codegrees of Irreducible Characters of VZ and Camina $p$-Groups

Ayush Udeep

Codegrees of Irreducible Characters of VZ and Camina $p$-Groups

Group Theory 2026-05-26 v1 Representation Theory

Authors: Ayush Udeep

Abstract

The character codegree of an irreducible character of a finite group $G$ is given by the index of its kernel in $G$ upon the character degree. We compute the codegrees of irreducible characters of VZ and Camina $p$ -groups, and also obtain the character codegrees set of $p$ -groups of order $\leq p^5$ , where $p$ is an odd prime.

Keywords

character codegree VZ groups Camina p-groups irreducible characters finite groups

Cite

@article{arxiv.2605.24864,
  title  = {Codegrees of Irreducible Characters of VZ and Camina $p$-Groups},
  author = {Ayush Udeep},
  journal= {arXiv preprint arXiv:2605.24864},
  year   = {2026}
}

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