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

collaborators

Showing 2016Show all

2 papers · 1 filter

math.GR2016

A theory of semiprimitive groups

Michael Giudici, Luke Morgan

A transitive permutation group is semiprimitive if each of its normal subgroups is transitive or semiregular. Interest in this class of groups is motivated by two sources: problems…

math.GR2016

Maximal linear groups induced on the Frattini quotient of a $p$ -group

John Bamberg, S. P. Glasby, Luke Morgan +1

Let $p > 3$ be a prime. For each maximal subgroup $H ⩽ GL (d, p)$ with $∣ H ∣ ⩾ p^{3 d + 1}$ , we construct a $d$ -generator finite $p$ -group $G$ with the property that…

A theory of semiprimitive groups

Maximal linear groups induced on the Frattini quotient of a p-group

Maximal linear groups induced on the Frattini quotient of a $p$ -group