Chris Parker

collaborators

4 papers

math.GR2026

The structure of finite groups invariably generated by two elements of prime order

Inna Capdeboscq, Chris Parker

A group $G$ is invariably generated by two elements $a$ and $b$ if $G = ⟨ a^{g}, b^{h} ⟩$ for all $g, h \in G$ . This paper provides a structural description of finite groups inv…

math.GR2026

Quasisimple groups with a proper subgroup having the same vector orbits in characteristic $2$

Chris Parker, B. G. Rodrigues

Let $p$ be a prime, $G$ be a finite group, $H$ a proper subgroup of $G$ and $V$ a finite dimensional $GF (p) G$ -module. The triple $(G, H, V)$ is immutable if and only if $G$ and $H$ h…

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.GR2025

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…

The structure of finite groups invariably generated by two elements of prime order

Quasisimple groups with a proper subgroup having the same vector orbits in characteristic 2

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

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

Quasisimple groups with a proper subgroup having the same vector orbits in characteristic $2$