Constructing solvable groups with derived length four and four character degrees

TL;DR

This paper introduces a novel method for constructing solvable groups that have a derived length of four and exactly four character degrees, expanding the known examples in group theory.

Contribution

The paper develops a new construction technique for solvable groups with specific derived length and character degree properties, providing new families of such groups.

Findings

New construction method for solvable groups

Multiple new families of groups with derived length four

Groups with exactly four character degrees

Abstract

In this paper, we present a new method to construct solvable groups with derived length four and four character degrees. We then use this method to present a number of new families of groups with derived length four and four character degrees.