Equivalent version of Huppert's conjecture for $K_3$-groups

TL;DR

This paper confirms an equivalent form of Huppert's conjecture specifically for $K_3$-groups, providing new insights into the structure of these groups and their character degrees.

Contribution

It establishes the validity of an equivalent version of Huppert's conjecture for $K_3$-groups, a specific class of groups.

Findings

Verified the equivalent version of Huppert's conjecture for $K_3$-groups

Enhanced understanding of the structure of $K_3$-groups

Contributed to the broader study of character theory in finite groups

Abstract

In this note we verify the equivalent version of Huppert's conjecture for $K_3$-groups.