Peter Rowley

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20242026

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math.GR2026

Automorphism Groups of the $P S L_{2} (q)$ Commuting Involution Graphs

James Bryden, Peter Rowley

Given a finite group $G$ and a conjugacy class of involutions $X$ of $G$ , we define the commuting involution graph $C (G, X)$ to be the graph with vertex set $X$ and $x,y \…

math.GR2025

The Excess Zero Graph of a Coxeter Group

Sarah Hart, Veronica Kelsey, Peter Rowley

For a Coxeter group $W$ with length function $ℓ$ , the excess zero graph $E_{0} (W)$ has vertex set the non-identity involutions of $W$ , with two involutions $x$ and $y$ a…

math.GR2024

$P (q)$ -Groupoids of Conway Type

Veronica Kelsey, Peter Rowley

In the spirit of Conway we define a groupoid starting from projective planes of order $q$ , where $q$ is odd. The associated group of these groupoids is then investigated.

Automorphism Groups of the PSL2​(q) Commuting Involution Graphs

The Excess Zero Graph of a Coxeter Group

P(q)-Groupoids of Conway Type

Automorphism Groups of the $P S L_{2} (q)$ Commuting Involution Graphs

$P (q)$ -Groupoids of Conway Type