Chris Parker

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math.GR2025

Expansion of normal subsets of odd-order elements in finite groups

Chris Parker, Jack Saunders

Let $G$ be a finite group and $K$ a normal subset consisting of odd-order elements. The rational closure of $K$ , denoted $D_{K}$ , is the set of elements $x \in G$ with the pr…

math.GR2024

The connectivity of the normalising and permuting graph of a finite soluble group

Eoghan Farrell, Chris Parker

We introduce the normalising graph of a group and study the connectivity of the normalising and permuting graphs of a group when the group is finite and soluble. In particular, we…