Luke Morgan

Dr, MSc PhD Birm.

  • The University of Western Australia (M019), 35 Stirling Highway,

    6009 Crawley

    Australia

  • 25 Citations
  • 3 h-Index
20132018
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Research Output 2013 2018

  • 25 Citations
  • 3 h-Index
  • 12 Article
2018

A theory of semiprimitive groups

Giudici, M. & Morgan, L. 1 Jun 2018 In : Journal of Algebra. 503, p. 146-185 40 p.

Research output: Contribution to journalArticle

Open Access
Permutation group
Primitive Group
Semiregular
Universal Algebra
Collapsing

Characterising CCA Sylow cyclic groups whose order is not divisible by four

Morgan, L., Morris, J. & Verret, G. 2018 In : Ars Mathematica Contemporanea. 14, 1, p. 83-95 13 p.

Research output: Contribution to journalArticle

Coloring
Cyclic group
Divisible
Edge Coloring
Cayley Graph
2016
Open Access
File
Sporadic Simple Groups
Amalgam
Faithful
Graph in graph theory
Vertex-transitive

Generalised Polygons Admitting a Point-Primitive Almost Simple Group of Suzuki or Ree Type

Morgan, G. & Popiel, T. 19 Feb 2016 In : Electronic Journal of Combinatorics. 23, 1, p. 1-12 12 p., P1.34

Research output: Contribution to journalArticle

Open Access
Generalized Polygon
Simple group
Octagon
Generalized Hexagon
Groups of Lie Type

On 2-arc-transitive graphs of order kpn

Morgan, L., Swartz, E. & Verret, G. Mar 2016 In : Journal of Combinatorial Theory. Series B. 117, p. 77-87 10 p.

Research output: Contribution to journalArticle

Open Access
File
Arc-transitive Graph
Generalise
Integer
2015
1 Citations

A note on the probability of generating alternating or symmetric groups

Morgan, L. & Roney-Dougal, C. M. Sep 2015 In : ARCHIV DER MATHEMATIK. 105, 3, p. 201-204

Research output: Contribution to journalArticle

Open Access
File
Alternating group
Symmetric group
Direct Product
Lower bound
Estimate
2 Citations

Elusive groups of automorphisms of digraphs of small valency

Giudici, M., Morgan, L., Potočnik, P. & Verret, G. May 2015 In : European Journal of Combinatorics. 46, p. 1-9

Research output: Contribution to journalArticle

Open Access
Digraph
Automorphisms
Semiregular
Permutation group
Connected graph
3 Citations

On locally semiprimitive graphs and a theorem of Weiss

Giudici, M. & Morgan, L. 1 Apr 2015 In : Journal of Algebra. 427, p. 104-117

Research output: Contribution to journalArticle

Affine Group
Coprime
Structure Theorem
Graph in graph theory
Vertex of a graph
2 Citations

On the order of Borel subgroups of group amalgams and an application to locally-transitive graphs

Morgan, L., Spiga, P. & Verret, G. 15 Jul 2015 In : Journal of Algebra. 434, p. 138-152

Research output: Contribution to journalArticle

Open Access
File
Amalgam
Permutation group
Subgroup
Permutation
Graph in graph theory
2014

A class of semiprimitive groups that are graph-restrictive

Giudici, M. & Morgan, L. Dec 2014 In : Bulletin of the London Mathematical Society. 46, 6, p. 1226-1236

Research output: Contribution to journalArticle

Open Access
File
Amalgam
Cubic Graph
Graph in graph theory
Theorem
Class
2013
3 Citations

On symmetric and locally finite actions of groups on the quintic tree

Morgan, L. 2013 In : Discrete Mathematics. 313, 21, p. 2486-2492

Research output: Contribution to journalArticle

Mercury amalgams
Quintic
Faithful
Isomorphism
Amalgam
14 Citations

The diameter of the commuting graph of a finite group with trivial centre

Morgan, L. & Parker, C. W. 2013 In : Journal of Algebra. 393, p. 41-59

Research output: Contribution to journalArticle