30 citations · 45 across the 2 of their papers we have counts for
8 papers
Bases of twisted wreath products
Joanna B. Fawcett
We study the base sizes of finite quasiprimitive permutation groups of twisted wreath type, which are precisely the finite permutation groups with a unique minimal normal subgroup…
Partial linear spaces with a rank 3 affine primitive group of automorphisms
John Bamberg, Alice Devillers, Joanna B. Fawcett +1
A partial linear space is a pair where is a non-empty set of points and is a collection of subsets of called l…
Regular orbits of symmetric and alternating groups
Joanna B. Fawcett, E. A. O'Brien, Jan Saxl
Given a finite group and a faithful irreducible -module where has prime order, does have a regular orbit on ? This problem is equivalent to determining which…
On -connected-homogeneous graphs
Alice Devillers, Joanna B. Fawcett, Cheryl E. Praeger +1
A graph is -connected-homogeneous (-CH) if is a positive integer and any isomorphism between connected induced subgraphs of order at most extends to an automorphi…
Regular orbits of sporadic simple groups
Joanna B. Fawcett, Jürgen Müller, E. A. O'Brien +1
Given a finite group and a faithful irreducible -module where has prime order, does have a regular orbit on ? This problem is equivalent to determining which…
Information transmission and signal permutation in active flow networks
Francis G. Woodhouse, Joanna B. Fawcett, Jörn Dunkel
Recent experiments show that both natural and artificial microswimmers in narrow channel-like geometries will self-organise to form steady, directed flows. This suggests that netwo…