2 papers
math.GR2025
Expansion of normal subsets of odd-order elements in finite groups
Chris Parker, Jack Saunders
Let be a finite group and a normal subset consisting of odd-order elements. The rational closure of , denoted , is the set of elements 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…