Finite non-solvable groups whose real degrees are prime-powers

TL;DR

This paper characterizes finite non-solvable groups where all real irreducible character degrees are prime powers, providing a detailed description of such groups.

Contribution

It offers a classification of non-solvable groups with prime-power real irreducible character degrees, a previously unexplored area.

Findings

Identified conditions for non-solvable groups with prime-power real degrees

Provided a complete description of these groups

Extended understanding of character degree structures in finite groups

Abstract

We present a description of non-solvable groups in which all real irreducible character degrees are prime-power numbers.