papers
Publications (16)
math.CO2015
On $2$-arc-transitive graphs of order $kp^n$
Luke Morgan, Eric Swartz, Gabriel Verret
math.GR2017
Maximal linear groups induced on the Frattini quotient of a $p$-group
John Bamberg, S. P. Glasby, Luke Morgan +1
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
math.GR2019
The distinguishing number of quasiprimitive and semiprimitive groups
Alice Devillers, Scott Harper, Luke Morgan
math.GR2016
A characterisation of weakly locally projective amalgams related to $A_{16}$ and the sporadic simple groups $M_{24}$ and $He$
Michael Giudici, A. A. Ivanov, Luke Morgan +1
math.GR2015
Generalised polygons admitting a point-primitive almost simple group of Suzuki or Ree type
Luke Morgan, Tomasz Popiel
math.CO2015
On the order of Borel subgroups of group amalgams and an application to locally-transitive graphs
Luke Morgan, Pablo Spiga, Gabriel Verret
math.GR2015
On locally semiprimitive graphs and a theorem of Weiss
Michael Giudici, Luke Morgan
math.GR2018
Bounds for Finite Semiprimitive Permutation Groups: Order, Base Size, and Minimal Degree
Luke Morgan, Cheryl E. Praeger, Kyle Rosa
math.CO2017
Arc-transitive digraphs of given out-valency and with blocks of given size
Luke Morgan, Primoz Potocnik, Gabriel Verret
math.CO2017
Digraphs with small automorphism groups that are Cayley on two nonisomorphic groups
Luke Morgan, Joy Morris, Gabriel Verret
math.GR2015
A note on the probability of generating alternating or symmetric groups
Luke Morgan, Colva M. Roney-Dougal
math.GR2016
A theory of semiprimitive groups
Michael Giudici, Luke Morgan
math.CO2017
Characterising CCA Sylow cyclic groups whose order is not divisible by four
Luke Morgan, Joy Morris, Gabriel Verret
math.CO2014
Elusive groups of automorphisms of digraphs of small valency
Michael Giudici, Luke Morgan, Primož PotoÄnik +1
math.GR2014
A class of semiprimitive groups that are graph-restrictive
Michael Giudici, Luke Morgan