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

    Australia

  • 2159 Citations
  • 22 h-Index
1992 …2018

Research Output 1992 2018

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
Classify
2017

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

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

Algebraic symmetry of codes in hamming graphs

Hawtin, D. 2017 (Unpublished)

Research output: ThesisDoctoral Thesis

File
Hamming Graph
Symmetry
Strings
Error-correcting Codes
Binary

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
Quotient
Graph in graph theory
Vertex-transitive
Cycle

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
File

Finite edge-transitive oriented graphs of valency four with cyclic normal quotients

Al-Bar, J., Al-kenani, A. N., Muthana, N. M. & Praeger, C. E. 20 Mar 2017 (Accepted/In press) In : Journal of Algebraic Combinatorics. p. 1-25 25 p.

Research output: Contribution to journalArticle

Edge-transitive Graph
Oriented Graph
Quotient
Graph in graph theory
Cycle

New characterisations of the Nordstrom-Robinson codes

Gillespie, N. I. & Praeger, C. E. 1 Apr 2017 In : Bulletin of the London Mathematical Society. 49, 2, p. 320-330

Research output: Contribution to journalArticle

Binary Code
Converse
Binary

On the complexity of multiplication in the Iwahori–Hecke algebra of the symmetric group

Niemeyer, A. C., Pfeiffer, G. & Praeger, C. E. 1 May 2017 In : Journal of Symbolic Computation. 80, p. 817-832 16 p.

Research output: Contribution to journalArticle

Iwahori-Hecke Algebra
Symmetric group
Algebra
Data structures
Data Structures

On the dimension of twisted centralizer codes

Alahmadi, A., Glasby, S. P. & Praeger, C. E. 1 Nov 2017 In : Finite Fields and their Applications. 48, p. 43-59 17 p.

Research output: Contribution to journalArticle

Centralizer
Linear Codes
Characteristic polynomial
Polynomials
Scalar

Point-primitive, line-transitive generalised quadrangles of holomorph type

Bamberg, J., Popiel, T. & Praeger, C. E. Mar 2017 In : Journal of Group Theory. 20, 2, p. 269-287 19 p.

Research output: Contribution to journalArticle

Open Access
File
Generalized Quadrangle
Collineation
Line
Normal subgroup
Point Sets

Point-primitive generalised hexagons and octagons

Bamberg, J., Glasby, S. P., Popiel, T., Praeger, C. E. & Schneider, C. 1 Apr 2017 In : Journal of Combinatorial Theory. Series A. 147, p. 186-204 19 p.

Research output: Contribution to journalArticle

Generalized Hexagon
Groups of Lie Type
Simple group
Octagon
Line
1 Citations

Primitive prime divisors and the nTH cyclotomic polynomial

Glasby, S. P., Lübeck, F., Niemeyer, A. C. & Praeger, C. E. 1 Feb 2017 In : Journal of the Australian Mathematical Society. 102, 1, p. 122-135 14 p.

Research output: Contribution to journalArticle

Open Access
File
Cyclotomic Polynomials
Divisor
Linear Group
Group Theory
Number theory

Simple groups, product actions, and generalized quadrangles

Bamberg, J., Popiel, T. & Praeger, C. E. 2017 In : Nagoya Mathematical Journal. p. 1-40

Research output: Contribution to journalArticle

File
Generalized Quadrangle
Simple group
Flag-transitive
Permutation group
Cartesian product
1 Citations

Some infinite permutation groups and related finite linear groups

Neumann, P. M., Praeger, C. E. & Smith, S. M. 1 Feb 2017 In : Journal of the Australian Mathematical Society. 102, 1, p. 136-149 14 p.

Research output: Contribution to journalArticle

Infinite Groups
Linear Group
Permutation group
Normal subgroup
Finite Group

The contribution of L. G. Kovács to the theory of permutation groups

Praeger, C. E. & Schneider, C. 1 Feb 2017 In : Journal of the Australian Mathematical Society. 102, 1, p. 20-33 14 p.

Research output: Contribution to journalArticle

Primitive Group
Permutation group
Review
1 Citations

Twisted centralizer codes

Alahmadi, A., Glasby, S. P., Praeger, C. E., Solé, P. & Yildiz, B. 1 Jul 2017 In : Linear Algebra and its applications. 524, p. 235-249 15 p.

Research output: Contribution to journalArticle

Centralizer
Linear Codes
Minimum Distance
Automorphism Group
Parity

Wendy Robertson: 1927-2016

Praeger, C. & Saxon, S. Mar 2017 4 p.Canberra : Australian Mathematical Society

Research output: Other contribution

File
2016
Open Access
File
Sporadic Simple Groups
Amalgam
Faithful
Graph in graph theory
Vertex-transitive
2 Citations

Arithmetic results on orbits of linear groups

Giudici, M., Liebeck, M. W., Praeger, C., Saxl, J. & Tiep, P. H. Apr 2016 In : Transactions of the American Mathematical Society. 368, 4, p. 2415-2467

Research output: Contribution to journalArticle

Open Access
File
Linear Group
Divisible
Orbits
Orbit
Coprime
1 Citations

Base sizes of imprimitive linear groups and orbits of general linear groups on spanning tuples

Fawcett, J. & Praeger, C. Apr 2016 In : ARCHIV DER MATHEMATIK. 106, 4, p. 305-314

Research output: Contribution to journalArticle

Open Access
File
General Linear Group
Linear Group
Orbit
Subgroup
Affine Group
1 Citations

Constructing flag-transitive, point-imprimitive designs

Cameron, P. J. & Praeger, C. 2016 In : Journal of Algebraic Combinatorics. 43, 4, p. 755-769

Research output: Contribution to journalArticle

Flag-transitive
Partition
Automorphism Group
Automorphisms
Design
2 Citations

Decomposing modular tensor products, and periodicity of 'Jordan partitions'

Glasby, S., Praeger, C. & Xia, B. 15 Mar 2016 In : Journal of Algebra. 450, p. 570-587 17 p.

Research output: Contribution to journalArticle

Open Access
File
Periodicity
Tensor Product
Partition
Minimal polynomial
R-matrix
2 Citations

Entry-faithful 2-neighbour transitive codes

Gillespie, N. I., Giudici, M., Hawtin, D. & Praeger, C. Jun 2016 In : Designs, Codes, and Cryptography. 79, 3, p. 549-564

Research output: Contribution to journalArticle

Faithful
Industry
Distance formula
Hamming Graph
Minimum Distance
2 Citations

Finite edge-transitive oriented graphs of valency four: a global approach

Praeger, C., Muthana, N., Al-Kenani, A., Al-Bar, J. & Spiga, P. 2016 In : The Electronic Journal of Combinatorics. 23, 1, 10 p., #P1.10

Research output: Contribution to journalArticle

File
Edge-transitive Graph
Oriented Graph
Graph in graph theory
Automorphisms
Vertex-transitive
1 Citations

Finite primitive permutation groups containing a permutation having at most four cycles

Guest, S., Morris, J., Praeger, C. & Spiga, P. 15 May 2016 In : Journal of Algebra. 454, p. 233-251

Research output: Contribution to journalArticle

Primitive Group
Permutation group
Permutation
Cycle
Disjoint
2 Citations

Generalized Quadrangles and Transitive Pseudo-Hyperovals

Bamberg, J., Glasby, S., Popiel, T. & Praeger, C. Mar 2016 In : Journal of Combinatorial Designs. 24, 4, p. 151-164

Research output: Contribution to journalArticle

Open Access
File
Hyperoval
Generalized Quadrangle
Flag-transitive
Normal subgroup
Projective Space
1 Citations
Arc-transitive Graph
Wreath Product
Inclusion
Graph in graph theory
Permutation group

J. P. O. Silberstein: 1920-2016

Praeger, C. May 2016 2 p.Canberra : Australian Mathematical Society

Research output: Other contribution

File

On the maximal number of coprime subdegrees in finite primitive permutation groups

Dolfi, S., Guralnick, R., Praeger, C. & Spiga, P. Oct 2016 In : Israel Journal of Mathematics. 216, 1, p. 107-147

Research output: Contribution to journalArticle

Open Access
File
Primitive Group
Coprime
Permutation group
Common factor
Pairwise

Two-sided group digraphs and graphs

Iradmusa, M. N. & Praeger, C. 2016 In : Journal of Graph Theory. 82, 3, p. 279-295

Research output: Contribution to journalArticle

Directed Graph
Cayley Graph
Graph in graph theory
Vertex-transitive Graph
Sufficient Conditions
2015
2 Citations

Affine transformations of finite vector spaces with large orders or few cycles

Guest, S., Morris, J., Praeger, C. & Spiga, P. Feb 2015 In : Journal of Pure and Applied Algebra. 219, 2, p. 308-330

Research output: Contribution to journalArticle

Open Access
File
Affine transformation
Vector space
Primitive Group
Permutation group
Cycle
4 Citations

Decomposing modular tensor products: ‘Jordan partitions’, their parts and p-parts

Glasby, S., Praeger, C. & Xia, B. Sep 2015 In : Israel Journal of Mathematics. 209, 1, p. 215-233

Research output: Contribution to journalArticle

Open Access
File
Tensor Product
Partition
Jordan Block
Tilting Modules
Decompose
9 Citations

Finite 2-Geodesic Transitive Graphs of Prime Valency

Devillers, A., Jin, W., Li, C-H. & Praeger, C. 2015 In : Journal of Graph Theory. 80, 1, p. 18-27

Research output: Contribution to journalArticle

Automorphism Group
Geodesic
Arc of a curve
Prime Graph
Graph in graph theory
5 Citations

Finite primitive permutation groups and regular cycles of their elements

Giudici, M., Praeger, C. & Spiga, P. 1 Jan 2015 In : Journal of Algebra. 421, p. 27-55 29 p.

Research output: Contribution to journalArticle

Open Access
File
Primitive Group
Permutation group
Cycle
Socle
Classical Groups
2 Citations

Generation of finite classical groups by pairs of elements with large fixed point spaces

Praeger, C., Seress, A. & Yalçinkaya, Ş. 2015 In : Journal of Algebra. 421, p. 56-101

Research output: Contribution to journalArticle

Classical Groups
Finite Group
Fixed point
Centralizer
Recognition Algorithm

Identifying long cycles in finite alternating and symmetric groups acting on subsets

Linton, S., Niemeyer, A. C. & Praeger, C. 2015 In : Journal of Algebra Combinatorics Discrete Structures and Applications. 2, 2, p. 117-149

Research output: Contribution to journalArticle

Open Access
2 Citations

Locally triangular graphs and rectagraphs with symmetry

Bamberg, J., Devillers, A., Fawcett, J. & Praeger, C. Jul 2015 In : Journal of Combinatorial Theory. Series A. 133, p. 1-28

Research output: Contribution to journalArticle

Triangular
Symmetry
Graph in graph theory
Permutation group
Vertex of a graph

Nilpotent-independent sets and estimation in matrix algebras

Corr, B. P., Popiel, T. & Praeger, C. 2015 In : LMS Journal of Computation and Mathematics. 18, 1, p. 404-418

Research output: Contribution to journalArticle

2 Citations

Normal edge-transitive Cayley graphs of Frobenius groups

Corr, B. P. & Praeger, C. 2015 In : Journal of Algebraic Combinatorics. 42, 3, p. 803-827

Research output: Contribution to journalArticle

Edge-transitive Graph
Frobenius Group
Cayley Graph
Fano plane
Graph in graph theory
7 Citations

On geodesic transitive graphs

Jin, W., Devillers, A., Li, C-H. & Praeger, C. 6 Mar 2015 In : Discrete Mathematics. 338, 3, p. 168-173 6 p.

Research output: Contribution to journalArticle

Geodesic
Transitivity
Graph in graph theory
Arc of a curve
Generalized Polygon
6 Citations

On the maximum orders of elements of finite almost simple groups and primitive permutation groups

Guest, S., Morris, J., Praeger, C. & Spiga, P. Nov 2015 In : Transactions of the American Mathematical Society. 367, 11, p. 7665-7694 30 p.

Research output: Contribution to journalArticle

Open Access
File
Primitive Group
Permutation group
Simple group
Element Order
Socle

Pairwise transitive 2-designs

Devillers, A. & Praeger, C. May 2015 In : Journal of Combinatorial Theory. Series A. 132, p. 246-270

Research output: Contribution to journalArticle

Open Access
Pairwise
Affine geometry
Symmetric Design
Projective geometry
Ordered pair
2 Citations

Triple factorisations of the general linear group and their associated geometries

Alavi, H., Bamberg, J. & Praeger, C. 15 Mar 2015 In : Linear Algebra and its applications. 469, p. 169-203 35 p.

Research output: Contribution to journalArticle

General Linear Group
Factorization
Geometry
Line
Flag-transitive

Twisted permutation codes

Gillespie, N. I., Praeger, C. & Spiga, P. May 2015 In : Journal of Group Theory. 18, 3, p. 407-433

Research output: Contribution to journalArticle

Permutation
Minimum Distance
Lower bound
Strictly
Repetition
2014
2 Citations

Abundant p-singular elements in finite classical groups

Niemeyer, A., Popiel, T. & Praeger, C. 15 Jun 2014 In : Journal of Algebra. 408, p. 189-204 17 p.

Research output: Contribution to journalArticle

Classical Groups
Finite Group
Proportion
Limiting
Simple group

Advances in Mathematics and Statistics in Western Australia since 1960

Bassom, A., Hopwood, J., Noakes, L., Pakes, A. & Praeger, C. 2014 In : Journal of the Royal Society of Western Australia. 97, p. 253-260

Research output: Contribution to journalReview article

2 Citations

Centraliser codes

Alahmadi, A. N., Alamoudi, S., Karadeniz, S., Yıldız, B., Praeger, C. & Solé, P. 2014 In : Linear Algebra and its applications. 463, p. 68-77

Research output: Contribution to journalArticle

Automorphism Group
Minimal polynomial
Annihilator
Centralizer
Adjacency Matrix
3 Citations

Conjectures on the normal covering number of the finite symmetric and alternating groups

Bubboloni, D., Praeger, C. & Spiga, P. 2014 In : International Journal of Group Theory. 3, 2, p. 57-75

Research output: Contribution to journalArticle

Normal number
Covering number
Alternating group
Symmetric group
Finite Group
4 Citations

Diagonally neighbour transitive codes and frequency permutation arrays

Gillespie, N. & Praeger, C. 2014 In : Journal of Algebraic Combinatorics. 39, 3, p. 733-747

Research output: Contribution to journalArticle

Open Access
File
Permutation
Hamming Graph
Impulse Noise
Coding
Classify