Luke Morgan

activity

20142025

most citedElusive groups of automorphisms of digraphs of small valency

13 citations · 42 across the 22 of their papers we have counts for

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Showing 2017 · math.GRShow all

2 papers · 2 filters

math.GR2017★ 1 cited

On $p$ -groups with automorphism groups related to the Chevalley group $G_{2} (p)$

John Bamberg, Saul D. Freedman, Luke Morgan

Let $p$ be an odd prime. We construct a $p$ -group $P$ of nilpotency class two, rank seven and exponent $p$ , such that $Aut (P)$ induces $N_{\mathrm{GL}(7,p)}(G_2(p)) = Z(\m…

math.GR2017

A finite simple group is CCA if and only if it has no element of order four

Luke Morgan, Joy Morris, Gabriel Verret

A Cayley graph for a group $G$ is CCA if every automorphism of the graph that preserves the edge-orbits under the regular representation of $G$ is an element of the normaliser of $…

On p-groups with automorphism groups related to the Chevalley group G2​(p)

A finite simple group is CCA if and only if it has no element of order four

On $p$ -groups with automorphism groups related to the Chevalley group $G_{2} (p)$