13 citations · 42 across the 22 of their papers we have counts for
3 papers · 1 filter
The distinguishing number of quasiprimitive and semiprimitive groups
Alice Devillers, Scott Harper, Luke Morgan
The distinguishing number of $G \leqslant \sym(Ω)$ is the smallest size of a partition of such that only the identity of fixes all the parts of the partition. Extending ear…
Bounds for Finite Semiprimitive Permutation Groups: Order, Base Size, and Minimal Degree
Luke Morgan, Cheryl E. Praeger, Kyle Rosa
In this paper we study finite semiprimitive permutation groups, that is, groups in which each normal subgroup is transitive or semiregular. We give bounds on the order, base size,…
Coprime Subdegrees of Twisted Wreath Permutation Groups
Alexander Y. Chua, Michael Giudici, Luke Morgan
Dolfi, Guralnick, Praeger and Spiga asked if there exist infinitely many primitive groups of twisted wreath type with nontrivial coprime subdegrees. Here we settle this question in…