Finite soluble groups that act with fixity 2 or 3

TL;DR

This paper investigates finite soluble groups acting on sets with fixity 2 or 3, providing new theoretical results about their structure and actions.

Contribution

It introduces novel theorems characterizing the structure of finite soluble groups with low fixity actions.

Findings

Characterization of groups with fixity 2

Results on groups with fixity 3

Structural properties of soluble groups in these actions

Abstract

In this article we prove results about finite soluble groups that act with fixity 2 or 3.