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

    Australia

  • 410 Citations
  • 12 h-Index
19982018
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Research Output 1998 2018

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Article
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

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
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

An infinite family of vertex-primitive 2-arc-transitive digraphs

Giudici, M., Li, C. H. & Xia, B., 1 Nov 2017, In : Journal of Combinatorial Theory. Series B. 127, p. 1-13 13 p.

Research output: Contribution to journalArticle

Open Access
Digraph
Arc of a curve
Vertex of a graph
Family

Cubic arc-transitive k-multicirculants

Giudici, M., Kovács, I., Li, C. H. & Verret, G., 1 Jul 2017, In : Journal of Combinatorial Theory. Series B. 125, p. 80-94 15 p.

Research output: Contribution to journalArticle

Arc of a curve
Orbits
Semiregular
Coprime
Automorphism Group

Permutation groups and derangements of odd prime order

Burness, T. C. & Giudici, M., 1 Oct 2017, In : Journal of Combinatorial Theory. Series A. 151, p. 102-130 29 p.

Research output: Contribution to journalArticle

Permutation group
Rearrangement
Odd
Arc-transitive Graph
Finite Graph

The number of composition factors of order p in completely reducible groups of characteristic p

Giudici, M., Glasby, S. P., Li, C. H. & Verret, G., 15 Nov 2017, In : Journal of Algebra. 490, p. 241-255 15 p.

Research output: Contribution to journalArticle

Open Access
Subgroup
2016
Open Access
File
Sporadic Simple Groups
Amalgam
Faithful
Graph in graph theory
Vertex-transitive
3 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
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

Realizability problem for commuting graphs

Giudici, M. & Kuzma, B., Dec 2016, In : Journal of the Australian Mathematical Society. 101, 3, p. 335-355

Research output: Contribution to journalArticle

Realizability
Graph in graph theory
Semigroup
Finite Graph
Vertex of a graph
2015
1 Citations

Characterising vertex-star transitive and edge-star transitive graphs

Giudici, M., Li, C-H., Seress, Á. & Thomas, A., Feb 2015, In : Israel Journal of Mathematics. 205, 1, p. 35-72

Research output: Contribution to journalArticle

Open Access
File
Star
Graph in graph theory
Vertex of a graph
Transitivity
Symmetry
2 Citations

Elusive groups of automorphisms of digraphs of small valency

Giudici, M., Morgan, L., Potočnik, P. & Verret, G., May 2015, In : European Journal of Combinatorics. 46, p. 1-9

Research output: Contribution to journalArticle

Open Access
Digraph
Automorphisms
Semiregular
Permutation group
Connected graph
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
3 Citations

On locally semiprimitive graphs and a theorem of Weiss

Giudici, M. & Morgan, L., 1 Apr 2015, In : Journal of Algebra. 427, p. 104-117

Research output: Contribution to journalArticle

Affine Group
Coprime
Structure Theorem
Graph in graph theory
Vertex of a graph
2014

A class of semiprimitive groups that are graph-restrictive

Giudici, M. & Morgan, L., Dec 2014, In : Bulletin of the London Mathematical Society. 46, 6, p. 1226-1236

Research output: Contribution to journalArticle

Open Access
File
Amalgam
Cubic Graph
Graph in graph theory
Theorem
Class
3 Citations

On bounding the diameter of the commuting graph of a group

Giudici, M. & Pope, A., 2014, In : Journal of Group Theory. 17, 1, p. 131-149

Research output: Contribution to journalArticle

Graph in graph theory
Upper bound
Commute
Simple Graph
Undirected Graph
3 Citations

Semiregular automorphisms of edge-transitive graphs

Giudici, M., Potočnik, P. & Verret, G., Dec 2014, In : Journal of Algebraic Combinatorics. 40, 4, p. 961-972

Research output: Contribution to journalArticle

Open Access
File
Edge-transitive Graph
Semiregular
Automorphism
Automorphisms
Vertex-transitive
2013
3 Citations

Hemisystems of small flock generalized quadrangles

Bamberg, J., Giudici, M. & Royle, G., 2013, In : Designs Codes and Cryptography. 67, p. 137-157

Research output: Contribution to journalArticle

3 Citations
3 Citations

Symmetric diameter two graphs with affine-type vertex-quasiprimitive automorphism group

Amarra, C., Giudici, M. & Praeger, C., 2013, In : Designs Codes and Cryptography. 68, 1-3, p. 127-139

Research output: Contribution to journalArticle

Vector spaces
Automorphism Group
Graph in graph theory
Vertex of a graph
Symmetric Graph
3 Citations

The classification of almost simple 3/2-Transitive Groups

Bamberg, J., Giudici, M., Liebeck, M. W., Praeger, C. & Saxl, J., 2013, In : Transactions of the American Mathematical Society. 365, 8, p. 4257-4311

Research output: Contribution to journalArticle

11 Citations

There is no upper bound for the diameter of the commuting graph of a finite group

Giudici, M. & Parker, C. W., 2013, In : Journal of Combinatorial Theory Series A. 120, 7, p. 1600-1603

Research output: Contribution to journalArticle

Finite Group
Upper bound
Graph in graph theory
Family
2012
2 Citations
1 Citations

Basic and degenerate Pregeometries

Giudici, M., Li, C-H., Pearce, G. & Praeger, C., 2012, In : European Journal of Combinatorics. 33, p. 1178-1189

Research output: Contribution to journalArticle

Open Access
2 Citations

Basic coset geometries

Giudici, M., Pearce, G. & Praeger, C., 2012, In : Journal of Algebraic Combinatorics. 36, 4, p. 561-594

Research output: Contribution to journalArticle

7 Citations

Generalised quadrangles with a group of automorphisms acting primitively on points and lines

Bamberg, J., Giudici, M., Morris, J., Royle, G. & Spiga, P., 2012, In : Journal of Combinatorial Theory Series A. 119, 7, p. 1479-1499

Research output: Contribution to journalArticle

Open Access
12 Citations

Locally s-distance transitive graphs

Devillers, A., Giudici, M., Li, C-H. & Praeger, C., 2012, In : Journal of Graph Theory. 69, p. 176-197

Research output: Contribution to journalArticle

Proportion of cyclic matrices in maximal reducible matrix algebras

Brown, S., Giudici, M., Glasby, S. & Praeger, C., 2012, In : Journal of Algebra. 369, p. 360-368

Research output: Contribution to journalArticle

1 Citations

Quotient-complete arc-transitive graphs

Amarra, M., Giudici, M. & Praeger, C., 2012, In : European Journal of Combinatorics. 33, 8, p. 1857-1881

Research output: Contribution to journalArticle

2 Citations

Quotients of incidence geometries

Cara, P., Devillers, A., Giudici, M. & Praeger, C., 2012, In : Designs Codes and Cryptography. 64, 1-2, p. 105-128

Research output: Contribution to journalArticle

2011
1 Citations
8 Citations

On imprimitive rank 3 permutation groups

Devillers, A., Giudici, M., Li, C-H., Pearce, G. & Praeger, C., 2011, In : JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. 84, 2, p. 649-669

Research output: Contribution to journalArticle

4 Citations

Point regular groups of automorphisms of generalised quadrangles

Bamberg, J. & Giudici, M., 2011, In : Journal of Combinatorial Theory Series A. 118, p. 1114-1128

Research output: Contribution to journalArticle

Open Access
3 Citations

Prime order derangements in primitive permutation groups

Burness, T. C., Giudici, M. & Wilson, R. A., 2011, In : Journal of Algebra. 341, p. 158-178

Research output: Contribution to journalArticle

Open Access
2010

A note on quotients of strongly regular graphs

Giudici, M. & Smith, M. R., 2010, In : Ars Mathematica Contemporanea. 3, p. 147-150

Research output: Contribution to journalArticle

12 Citations

Every flock generalized quadrangle has a hemisystem

Bamberg, J., Giudici, M. & Royle, G., 2010, In : Bulletin of the London Mathematical Society. 42, p. 795-810

Research output: Contribution to journalArticle

8 Citations

On finite edge-primitive and edge-quasiprimitive graphs

Giudici, M. & Li, C-H., 2010, In : Journal of combinatorial Theory Series B. 100, p. 275-298

Research output: Contribution to journalArticle

Open Access
2 Citations

Some graphs related to the small Mathieu groups

Devillers, A., Giudici, M., Li, C-H. & Praeger, C., 2010, In : European Journal of Combinatorics. 31, p. 336-348

Research output: Contribution to journalArticle

Open Access
16 Citations
2009
5 Citations

Characterizing a family of elusive permutation groups

Giudici, M. & Kelly, S., 2009, In : Journal of Group Theory. 12, 1, p. 95-105

Research output: Contribution to journalArticle

Permutation group
Mersenne prime
Affine plane
Normal subgroup
Fixed point
4 Citations

Small maximal sum-free sets

Giudici, M. & Hart, S., 2009, In : Electronic Journal of Combinatorics. 16, 1, p. 1-17

Research output: Contribution to journalArticle

Inclusion
Subset
2008
4 Citations

Homogeneous factorisations of graph products

Giudici, M., Li, C-H., Potocnik, P. & Praeger, C., 2008, In : Discrete Mathematics. 308, 16, p. 3652-3667

Research output: Contribution to journalArticle

Graph Products
Factorization
Arc of a curve
Partition
Lexicographic Product
3 Citations

Homogeneous factorisations of Johnson graphs

Cuaresma, M. C., Giudici, M. & Praeger, C., 2008, In : Designs Codes and Cryptography. 46, 3, p. 303-327

Research output: Contribution to journalArticle

File
Factorization
Vertex-transitive
Graph in graph theory
Partition
Subgroup
6 Citations
File
Involution
Adjacent
Conjugacy class
Graph in graph theory
Union
4 Citations

Primitive decompositions of Johnson graphs

Giudici, M., Praeger, C., Devillers, A. & Li, C-H., 2008, In : Journal of Combinatorial Theory Series A. 115, 6, p. 925-966

Research output: Contribution to journalArticle

File
Decompose
Graph in graph theory
Partition
Automorphisms
Arc of a curve
2007
20 Citations

All vertex-transitive locally-quasiprimitive graphs have a semiregular automorphism

Giudici, M. & Xu, J., 2007, In : Journal of Algebraic Combinatorics. 25, 2, p. 217-232

Research output: Contribution to journalArticle

Vertex-transitive
Semiregular
Automorphism
Permutation group
Graph in graph theory
2 Citations

A new family of locally 5-arc transitive graphs

Giudici, M., Li, C-H. & Praeger, C., 2007, In : European Journal of Combinatorics. 28, 2, p. 533-548

Research output: Contribution to journalArticle

Arc-transitive Graph
Amalgam
Automorphism Group
Graph in graph theory
Family
7 Citations

Homogeneous factorisations of complete multipartite graphs

Giudici, M., Li, C-H., Potocnik, P. & Praeger, C., 2007, In : Discrete Mathematics. 307, 3-5, p. 415-431

Research output: Contribution to journalArticle

Complete multipartite Graph
Factorization
Partition
Vertex-transitive
Arc of a curve