36 citations · 144 across the 13 of their papers we have counts for
13 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…
Stochastic cycle selection in active flow networks
Francis G. Woodhouse, Aden Forrow, Joanna B. Fawcett +1
Active biological flow networks pervade nature and span a wide range of scales, from arterial blood vessels and bronchial mucus transport in humans to bacterial flow through porous…
Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5
Joanna B. Fawcett, Michael Giudici, Cai Heng Li +3
We classify finite primitive permutation groups having a suborbit of length 5. As a corollary, we obtain a classification of finite vertex-primitive graphs of valency 5. In the pro…
Base sizes of imprimitive linear groups and orbits of general linear groups on spanning tuples
Joanna B. Fawcett, Cheryl E. Praeger
For a subgroup of the symmetric group , we determine the minimal base size of acting on as an imprimitive linear group. This is achieved by…
Bruck nets and partial Sherk planes
John Bamberg, Joanna B. Fawcett, Jesse Lansdown
In Bachmann's Aufbau der Geometrie aus dem Spiegelungsbegriff (1959), it was shown that a finite metric plane is a Desarguesian affine plane of odd order equipped with a perpendicu…
Locally triangular graphs and normal quotients of the -cube
Joanna B. Fawcett
For an integer , the triangular graph has vertex set the -subsets of and edge set the pairs of -subsets intersecting at one point. Such graphs are k…
Locally triangular graphs and rectagraphs with symmetry
John Bamberg, Alice Devillers, Joanna B. Fawcett +1
Locally triangular graphs are known to be halved graphs of bipartite rectagraphs, which are connected triangle-free graphs in which every -arc lies in a unique quadrangle. A gra…
The base size of a primitive diagonal group
Joanna B. Fawcett
A base B for a finite permutation group G acting on a set X is a subset of X with the property that only the identity of G can fix every point of B. We prove that a primitive diago…