Peter J. Cameron

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20242026

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4 papers · 1 filter

math.GR2025

Endomorphism and automorphism graphs of finite groups

Midhuna V Ajith, Peter J Cameron, Mainak Ghosh +1

Let $G$ be a group. The directed endomorphism graph, $\dend(G)$ of $G$ is a directed graph with vertex set $G$ and there is a directed edge from the vertex $a$ to the vertex $b$ if…

math.GR2024

Engel and co-Engel graphs of finite groups

Peter J. Cameron, Rishabh Chakraborty, Rajat Kanti Nath +1

Let $G$ be a group. Associate a directed graph $E (G)$ (called the Engel digraph of $G$ ) with $G$ whose vertex set is $G$ , with an arc $(x, y)$ if $[y,_{k} x] = 1$ for some posi…

math.GR2024

A survey on conjugacy class graphs of groups

P. J. Cameron, F. E. Jannat, R. K. Nath +1

There are several graphs defined on groups. Among them we consider graphs whose vertex set consists conjugacy classes of a group $G$ and adjacency is defined by properties of the e…

math.GR2024

Super graphs on groups, II

G. Arunkumar, Peter J. Cameron, Rajat Kanti Nath

In an earlier paper, the authors considered three types of graphs, and three equivalence relations, defined on a group, viz.\ the power graph, enhanced power graph, and commuting g…