Michael Giudici

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

  • The University of Western Australia (M019), 35 Stirling Highway,

    6009 Perth

    Australia

  • 489 Citations
  • 13 h-Index
19982022
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Research Output 1998 2019

2019

Arc-transitive digraphs with quasiprimitive local actions

Giudici, M., Glasby, S., Li, C-H. & Verret, G., Mar 2019, In : Journal of Pure and Applied Algebra. 223, 3, p. 1217-1226 10 p.

Research output: Contribution to journalArticle

Open Access

Constructing 2-Arc-Transitive Covers of Hypercubes

Giudici, M., Li, C. & Xu, Y., 7 Jun 2019, In : Graphs and Combinatorics.

Research output: Contribution to journalArticle

Open Access
Cayley Graph
Vector spaces
Hypercube
Arc of a curve
Cover

Coprime subdegrees of twisted wreath permutation groups

Chua, A. Y., Giudici, M. & Morgan, L., 28 Jun 2019, In : Proceedings of the Edinburgh Mathematical Society.

Research output: Contribution to journalArticle

Open Access
Coprime
Permutation group
Primitive Group
Socle
Simple group

Vertex-primitive s-arc-transitive digraphs of linear groups

Giudici, M., Li, C. H. & Xia, B., Dec 2019, In : Journal of Pure and Applied Algebra.

Research output: Contribution to journalArticle

Open Access
Linear Group
Digraph
Arc of a curve
Vertex of a graph
Socle
2018
2 Citations (Scopus)

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
1 Citation (Scopus)

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
1 Citation (Scopus)

On the Saxl graph of a permutation group

Burness, T. C. & Giudici, M., 8 Aug 2018, In : Mathematical Proceedings of the Cambridge Philosophical Society. 30 p.

Research output: Contribution to journalArticle

Open Access
Permutation group
Graph in graph theory
Primitive Group
Hamiltonicity
Clique number
2 Citations (Scopus)

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
3 Citations (Scopus)

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
221 Downloads (Pure)

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
181 Downloads (Pure)

Algebraic symmetry of codes in hamming graphs

Hawtin, D., 2017, (Unpublished)

Research output: ThesisDoctoral Thesis

File
Hamming Graph
Symmetry
Strings
Error-correcting Codes
Binary
2 Citations (Scopus)

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
1 Citation (Scopus)
77 Downloads (Pure)

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

Open Access
File
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
2 Citations (Scopus)

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
190 Downloads (Pure)

A characterisation of weakly locally projective amalgams related to A16 and the sporadic simple groups M24 and He

Giudici, M., Ivanov, A. A., Morgan, L. & Praeger, C., 15 Aug 2016, In : Journal of Algebra. 460, p. 340-365

Research output: Contribution to journalArticle

Open Access
File
Sporadic Simple Groups
Amalgam
Faithful
Graph in graph theory
Vertex-transitive
8 Citations (Scopus)
289 Downloads (Pure)

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

Classical Groups, Derangements and Primes

Burness, T. & Giudici, M., 2016, Cambridge, UK: Cambridge University Press. 366 p. (Australian Mathematical Lecture Note Series; no. 25)

Research output: Book/ReportBook

Classical Groups
Rearrangement
Finite Group
Primitive Group
Conjugacy
3 Citations (Scopus)

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
2 Citations (Scopus)
194 Downloads (Pure)

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
3 Citations (Scopus)

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
6 Citations (Scopus)
270 Downloads (Pure)

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 (Scopus)

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
361 Downloads (Pure)

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
4 Citations (Scopus)

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
5 Citations (Scopus)
193 Downloads (Pure)

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
4 Citations (Scopus)

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

4 Citations (Scopus)
4 Citations (Scopus)

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
Industry
6 Citations (Scopus)
14 Downloads (Pure)

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

13 Citations (Scopus)

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 (Scopus)
1 Citation (Scopus)

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 (Scopus)

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

1 Citation (Scopus)
Open Access
9 Citations (Scopus)
13 Downloads (Pure)

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
15 Citations (Scopus)

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

Open Access
2 Citations (Scopus)

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

Open Access
2 Citations (Scopus)

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 Citation (Scopus)
10 Citations (Scopus)

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

7 Citations (Scopus)

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
4 Citations (Scopus)

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

15 Citations (Scopus)

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

11 Citations (Scopus)

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 (Scopus)

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 (Scopus)