Cheryl Praeger

Professor, BSc Qld , MSc Qld & Oxf. , DPhil Oxf. , DSc W.Aust. , Hon.DSc Prince of Songkla , Hon.DHC Libre de Bruxelles , AMusA

  • The University of Western Australia (M019), 35 Stirling Highway, Room 1.33, Mathematics Building, Perth campus

    6009 Crawley


  • 2181 Citations
  • 23 h-Index
1992 …2018
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Personal profile


Professor Cheryl Praeger is Professor of Mathematics. She is a Former Australian Research Council Federation Fellow and former Director of the Centre for Mathematics of Symmetry and Computation. She is also Foreign Secretary of the Australian Academy of Science.

Professor Praeger received BSc and MSc degrees from the University of Queensland, a DPhil from the University of Oxford in 1973, and has received honorary doctorates from the Prince of Songkla University (Thailand, 1993), the Universite Libre de Bruxelles (Belgium, 2005), Yazd University (Iran, 2015), and the University of St Andrews (Scotland, 2015). Her research has focussed on the theory of group actions and their applications in Algebraic Graph Theory and to Combinatorial Designs; and algorithms for group computation including questions in statistical group theory and algorithmic complexity.

Prior to appointment at The University of Western Australia she held a Research Fellowship at the Australian National University and taught for a semester at the University of Virginia. She has taught in the Mathematics and Statistics program at UWA and was Head of the Department of Mathematics 1992-1994, inaugural Dean of Postgraduate Research Studies 1996-1998, Chair Promotions and Tenure Committee 2000-2004, Deputy Dean of the Faculty of Engineering Computing and Mathematics 2003-2006, and ARC Professorial Fellow 2007.

Professor Praeger is a member of the Order of Australia, Fellow of the Australian Academy of Science. She was Executive Committee member of the International Mathematical Union (2007-14), Vice President of the International Commission for Mathematical Instruction (2012-16), member of the Australian Research Council College of Experts (2011-2013), President of the Australian Mathematical Society (1992094), Chair of the Australian Council of Heads of Mathematical Sciences (2008-10). She is currently (foundation) board member of the Australian Mathematics Trust, Chair of the Australian Mathematics Olympiad Committee. She was 2009 Western Australian Scientist of the Year, and was the 2015 Inductee into the Western Australian Science Hall of Fame.

Roles and responsibilities

Various Editorial positions:

Future research

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Funding overview

Continuous funding from the ARC since the 1990s.

Previous positions

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Industrial relevance

Data Analysis Australia, Director since 1989

Teaching overview

List of postgraduate and honours students that I have supervised


Group Theory and Combinatorics, including Analysis of algorithms and complexity,
Discrete Mathematics and
Her list of Publications can be found at


  • Algebraic combinatorics
  • Algorithms for groups
  • Geometry
  • Group theory

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  • 8 Similar Profiles
Permutation group Mathematics
Primitive Group Mathematics
Graph in graph theory Mathematics
Finite Group Mathematics
Arc-transitive Graph Mathematics
Simple group Mathematics
Subgroup Mathematics
Automorphism Group Mathematics

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Projects 1996 2018

Research Output 1992 2018

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

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

A normal quotient analysis for some families of oriented four-valent graphs

Al-Bar, J., Al-Kenani, A., Muthana, N. & Praeger, C. 2017 In : ARS Mathematica Contemporanea. 12, 2, p. 361-381 21 p.

Research output: Contribution to journalArticle

Oriented Graph
Graph in graph theory

Conway's groupoid and its relatives

Gill, N., Gillespie, N. I., Praeger, C. E. & Semeraro, J. 2017 Finite Simple Groups: Thirty Years of the Atlas and Beyond. Bhargava, M., Guralnick, R., Hiss, G., Lux, K. & Tiep, P. H. (eds.). USA: American Mathematical Society, p. 91-110 20 p. (Contemporary Mathematics; vol. 694)

Research output: Chapter in Book/Report/Conference proceedingConference paper

Open Access