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Regular orbits of symmetric and alternating groups

- Joanna B. Fawcett, E. O'Brien, J. Saxl
- Mathematics
- 15 July 2016

Given a nite group G and a faithful irreducible FG-module V where F has prime order, does G have a regular orbit on V ? This problem is equivalent to determining which primitive permutation groups of… Expand

The base size of a primitive diagonal group

- Joanna B. Fawcett
- Mathematics
- 9 May 2012

Abstract A base B for a finite permutation group G acting on a set Ω is a subset of Ω with the property that only the identity of G can fix every point of B . We prove that a primitive diagonal group… Expand

Stochastic cycle selection in active flow networks

- Francis G. Woodhouse, Aden Forrow, Joanna B. Fawcett, J. Dunkel
- Biology, Computer Science
- Proceedings of the National Academy of Sciences
- 5 July 2016

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Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5

- Joanna B. Fawcett, Michael Giudici, C. Li, C. Praeger, G. Royle, G. Verret
- Mathematics, Computer Science
- J. Comb. Theory, Ser. A
- 7 June 2016

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Locally triangular graphs and rectagraphs with symmetry

- John Bamberg, Alice Devillers, Joanna B. Fawcett, C. Praeger
- Computer Science, Mathematics
- J. Comb. Theory, Ser. A
- 31 July 2014

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Bases of primitive permutation groups

- Joanna B. Fawcett
- Mathematics
- 8 October 2013

A base B for a finite permutation group G acting on a set Ω is a subset of Ω with the property that only the identity of G can fix every element of B. In this dissertation, we investigate some… Expand

Locally triangular graphs and normal quotients of the n-cube

- Joanna B. Fawcett
- Mathematics
- 6 July 2015

For an integer $$n\ge 2$$n≥2, the triangular graph has vertex set the 2-subsets of $$\{1,\ldots ,n\}$${1,…,n} and edge set the pairs of 2-subsets intersecting at one point. Such graphs are known to… Expand

On k-connected-homogeneous graphs

- Alice Devillers, Joanna B. Fawcett, C. Praeger, J. Zhou
- Mathematics, Computer Science
- J. Comb. Theory, Ser. A
- 8 May 2018

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The O'Nan-Scott Theorem for Finite Primitive Permutation Groups, and Finite Representability

- Joanna B. Fawcett
- Mathematics
- 6 August 2009

Introduction 11 Preliminaries 31.1 Centralizers and Normalizers . . . . . . . . . . . . . . . . . . . . . . . . . . 31.2 Group Actions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .… Expand

Information transmission and signal permutation in active flow networks

- Francis G. Woodhouse, Joanna B. Fawcett, J. Dunkel
- Computer Science
- 1 October 2017

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