On the irreducible characters of Suzuki p-groups

TL;DR

This paper fully characterizes the irreducible characters of four families of Suzuki p-groups, providing a comprehensive understanding of their representation theory.

Contribution

It offers a complete determination of the irreducible characters for all four families of Suzuki p-groups, a novel result in the field.

Findings

Explicit descriptions of irreducible characters for each Suzuki p-group family

Complete classification of irreducible representations for these groups

Advancement in understanding Suzuki p-group structure

Abstract

In this paper, we completely determine the irreducible characters of the four families of Suzuki $p$-groups.