Michael Giudici

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

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

    6009 Perth

    Australia

  • 422 Citations
  • 12 h-Index
19982021
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Personal profile

Research

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.

Keywords

  • Algebraic combinatorics
  • Group theory
  • graph symmetry

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

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Projects 2004 2021

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
Semiregular
Universal Algebra
Collapsing

Locally elusive classical groups

Burness, T. C. & Giudici, M., 1 Apr 2018, In : Israel Journal of Mathematics. 225, 1, p. 343-402 60 p.

Research output: Contribution to journalArticle

Open Access
Classical Groups
Primitive Group
Permutation group
Simple group
Representation Theory

On the Saxl graph of a permutation group

Burness, T. C. & Giudici, M., 1 Jan 2018, (Accepted/In press) In : Mathematical Proceedings of the Cambridge Philosophical Society.

Research output: Contribution to journalArticle

Open Access
Permutation group
Graph in graph theory
Primitive Group
Hamiltonicity
Clique number
1 Citations

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
Classify

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
Digraph
Arc of a curve
Vertex of a graph
Simple group