Kernels of p'-degree irreducible characters

TL;DR

This paper establishes a p'-version of a classical theorem, providing new insights into the structure of irreducible characters and their codegrees in finite group theory.

Contribution

It introduces a p'-version of Broline and Garrison's theorem, advancing understanding of character degrees and codegrees in the context of p'-elements.

Findings

Proves a p'-version of a classical theorem.

Derives results on p-parts of character codegrees.

Enhances theoretical framework of character theory.

Abstract

We prove a p'-version of a classical theorem of Broline and Garrison. As a consequence, we obtain results on p-parts of character codegrees.