Michael Giudici

Professor, BSc (Hons) , MSc W.Aust., PhD Lond., FAustMS

  • The University of Western Australia (M019), 35 Stirling Highway, Room 2.11, Mathematics Building, Perth campus

    6009 Crawley


  • 406 Citations
  • 12 h-Index
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Personal profile


My research interests lie in the area of permutation groups and their action on various combinatorial structures.   This has had three main themes: the study of theoretical properties of permutation groups, analysing graphs with a high degree of symmetry, and the study of symmetry properties of geometries.


  • Algebraic combinatorics
  • Group theory
  • graph symmetry

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  • 5 Similar Profiles
Permutation group Mathematics
Arc-transitive Graph Mathematics
Semiregular Mathematics
Factorization Mathematics
Digraph Mathematics
Primitive Group Mathematics
Automorphisms Mathematics
Vertex-transitive Mathematics

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Projects 2004 2018

Research Output 1998 2018

A theory of semiprimitive groups

Giudici, M. & Morgan, L. 1 Jun 2018 In : Journal of Algebra. 503, p. 146-185 40 p.

Research output: Contribution to journalArticle

Open Access
Permutation group
Primitive Group
Universal Algebra

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

Fawcett, J. B., Giudici, M., Li, C. H., Praeger, C. E., Royle, G. & Verret, G. 1 Jul 2018 In : Journal of Combinatorial Theory. Series A. 157, p. 247-266 20 p.

Research output: Contribution to journalArticle

Primitive Group
Permutation group
Graph in graph theory
Vertex of a graph

Vertex-quasiprimitive 2-arc-transitive digraphs

Giudici, M. & Xia, B. 2018 In : Ars Mathematica Contemporanea. 14, 1, p. 67-82 16 p.

Research output: Contribution to journalArticle

Open Access
Arc of a curve
Vertex of a graph
Simple group

Affine primitive symmetric graphs of diameter two

Amarra, M. C., Giudici, M. & Praeger, C. 2017 In : ARS Mathematica Contemporanea. 13, 1, p. 137-165 29 p.

Research output: Contribution to journalArticle

Symmetric Graph
Vector spaces
Graph in graph theory
Dimension of a vector space

Algebraic symmetry of codes in hamming graphs

Hawtin, D. 2017 (Unpublished)

Research output: ThesisDoctoral Thesis

Hamming Graph
Error-correcting Codes