J. Saunders

collaborators

2 papers

math.GR2025

Groups with conjugacy classes of coprime sizes

Rachel D. Camina, Attila MarÃ³ti, Emanuele Pacifici +6

Suppose that $x$ , $y$ are elements of a finite group $G$ lying in conjugacy classes of coprime sizes. We prove that $⟨ x^{G} ⟩ \cap ⟨ y^{G} ⟩$ is an abelian nor…

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…