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 Perth


  • 2283 Citations
  • 23 h-Index
1992 …2021
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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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Projects 1996 2021

Research Output 1992 2018

Construction of the Outer Automorphism of S6 via a Complex Hadamard Matrix

Gillespie, N. I., Ó Catháin, P. & Praeger, C. E., 1 Dec 2018, In : Mathematics in Computer Science. 12, 4, p. 453-458 6 p.

Research output: Contribution to journalArticle

Hadamard matrices
Hadamard Matrix
Roots of Unity

Group factorisations, uniform automorphisms, and permutation groups of simple diagonal type

Praeger, C. E. & Schneider, C., Oct 2018, In : Israel Journal of Mathematics. 228, 2, p. 1001-1023

Research output: Contribution to journalArticle

Permutation group
Group Classification
Finite Simple Group

Increasing the minimum distance of codes by twisting

Akbari, M., Gillespie, N. I. & Praeger, C. E., 24 Aug 2018, In : Electronic Journal of Combinatorics. 25, 3, #P3.36.

Research output: Contribution to journalArticle

Open Access
Minimum Distance
Symplectic Group
Graph Automorphism

Primary cyclic matrices in irreducible matrix subalgebras

Corr, B. P. & Praeger, C. E., 1 Jul 2018, In : Journal of Group Theory. 21, 4, p. 667-694 28 p.

Research output: Contribution to journalArticle

Irreducible Matrix
Primary Decomposition
Matrix Groups
Index Theorem
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