Michael Giudici

Search results

• 2024

  A Generalization of Szep’s Conjecture for Almost Simple Groups

  Gill, N., Giudici, M. & Spiga, P., Apr 2024, In: Vietnam Journal of Mathematics. 52, 2, p. 325-359 35 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Simple Group 100%
  • Group Element 100%
  • Orthogonal Group 50%
  • Natural Generalization 50%
  1 Citation (Scopus)

• Spreading primitive groups of diagonal type do not exist

  Bamberg, J., Freedman, S. D. & Giudici, M., 26 Apr 2024, (E-pub ahead of print) In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 11 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Diagonal 100%
  • Primitive Group 100%
  • Stabilizer 66%
  • Transitive Group 33%
  • Permutation Group 33%

• Total closure for permutation actions of finite nonabelian simple groups

  Freedman, S. D., Giudici, M. & Praeger, C. E., Feb 2024, In: Monatshefte fur Mathematik. 203, 2, p. 323-340 18 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Permutation 100%
  • Simple Group 100%
  • Finite Simple Group 100%
  • Alternating Group 66%
  • Classical Group 66%
• 2023

  Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster

  Bors, A., Giudici, M. & Praeger, C. E., 2023, In: Memoirs of the American Mathematical Society. 287, 1426, 96 p., 1427.

  Research output: Contribution to journal › Article › peer-review

  File

  • Finite Group 100%
  • Quantitative Characterization 50%
  • Distinct Element 50%
  18 Downloads (Pure)

• On primitive 2-closed permutation groups of rank at most four

  Giudici, M., Morgan, L. & Zhou, J. X., Jan 2023, In: Journal of Combinatorial Theory. Series B. 158, p. 176-205 30 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Permutation Group 100%
  • Automorphism Group 100%
  • Semilinear 50%

• Separating rank 3 graphs

  Bamberg, J., Giudici, M., Lansdown, J. & Royle, G. F., Aug 2023, In: European Journal of Combinatorics. 112, 13 p., 103732.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Affine Type 100%
  • Primitive Group 100%
  2 Citations (Scopus)

• Subgroups of classical groups that are transitive on subspaces

  Giudici, M., Glasby, S. P. & Praeger, C. E., 15 Dec 2023, In: Journal of Algebra. 636, p. 804-868 65 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Classical Group 100%
  • Factorization 50%
  • Simple Group 50%
  • Automorphism 50%
  • Invariant Set 50%
  2 Citations (Web of Science)

• Vertex-primitive s-arc-transitive digraphs admitting a Suzuki or Ree group

  Chen, L., Giudici, M. & Praeger, C. E., Aug 2023, In: European Journal of Combinatorics. 112, 103729.

  Research output: Contribution to journal › Article › peer-review

  • Transitive Digraph 100%
  • Directed Cycle 100%
  • Transitivity 50%
  • Alternating Group 50%
  • Upper Bound 50%
• 2022

  Arc-transitive bicirculants

  Devillers, A., Giudici, M. & Jin, W., Jan 2022, In: Journal of the London Mathematical Society. 105, 1, p. 1-23 23 p.

  Research output: Contribution to journal › Article › peer-review

  • Integer 100%
  3 Citations (Scopus)

• Orbits of Sylow subgroups of finite permutation groups

  Bamberg, J., Bors, A., Devillers, A., Giudici, M., Praeger, C. E. & Royle, G. F., 1 Oct 2022, In: Journal of Algebra. 607, p. 107-133 27 p.

  Research output: Contribution to journal › Article › peer-review

  • Transitive Group 100%
  • Permutation Group 100%
  • Alternating Group 100%
  • Symmetric Group 100%
  • Finite Group 100%

• Synchronising primitive groups of diagonal type exist

  Bamberg, J., Giudici, M., Lansdown, J. & Royle, G. F., Jun 2022, In: Bulletin of the London Mathematical Society. 54, 3, p. 1131-1144 14 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Diagonal 100%
  • Primitive Group 100%
  • Permutation Group 25%
  • Affine Type 25%
  • Prime Power 25%
  2 Citations (Scopus)
• 2021

  Groups generated by derangements

  Bailey, R. A., Cameron, P. J., Giudici, M. & Royle, G. F., 15 Apr 2021, In: Journal of Algebra. 572, p. 245-262 18 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Permutation Group 100%
  • Theoretic Structure 100%
  • Linear Group 100%
  • Equivalent Form 100%
  • Main Result 100%
  118 Downloads (Pure)

• On edge-primitive 3-arc-transitive graphs

  Giudici, M. & King, C. S. H., Nov 2021, In: Journal of Combinatorial Theory. Series B. 151, p. 282-306 25 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Automorphism Group 100%
  • Edge 100%
  • Simple Group 50%
  • Stabilizer 50%
  • Classical Group 50%
  4 Citations (Scopus)
• 2020

  Arc-transitive graphs of valency twice a prime admit a semiregular automorphism

  Giudici, M. & Verret, G., 2020, In: Ars Mathematica Contemporanea. 18, 1, p. 179-186 8 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Semiregular 100%
  • Automorphism 100%
  • Transitive Digraph 25%
  3 Citations (Scopus)

• On the Saxl graph of a permutation group

  Burness, T. C. & Giudici, M., 1 Mar 2020, In: Mathematical Proceedings of the Cambridge Philosophical Society. 168, 2, p. 219-248 30 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Permutation Group 100%
  • Stabilizer 66%
  • Transitive Group 33%
  • Simple Group 33%
  • Open Problem 33%
  10 Citations (Scopus)
• 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 journal › Article › peer-review

  Open Access
  1 Citation (Scopus)

• Constructing 2-Arc-Transitive Covers of Hypercubes

  Giudici, M., Li, C. & Xu, Y., 1 Sept 2019, In: Graphs and Combinatorics. 35, 5, p. 973-987 15 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Cayley Graph 100%
  • Hypercube 100%
  • Necessary and Sufficient Condition 50%
  • Quadratic Form 50%
  • Dimensional Hypercube 50%

• Coprime subdegrees of twisted wreath permutation groups

  Chua, A. Y., Giudici, M. & Morgan, L., 1 Nov 2019, In: Proceedings of the Edinburgh Mathematical Society. 62, 4, p. 1137-1162 26 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Permutation Group 100%
  • Simple Group 33%
  • Diagonal 33%
  • Primitive Group 33%

• Documentation for the GAP code file OrbOrd.txt

  Bors, A., Giudici, M. & Praeger, C. E., 28 Oct 2019, arXiv.

  Research output: Working paper › Preprint

  File

  • Finite Simple Group 100%
  • Groups Of Lie Type 100%
  36 Downloads (Pure)

• 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. 223, 12, p. 5455-5483 29 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Transitive Digraph 100%
  • Linear Group 100%
  • Upper Bound 33%
  • Simple Group 33%
  3 Citations (Scopus)
• 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 journal › Article › peer-review

  Open Access

  • Permutation Group 100%
  • Semiregular 50%
  • Open Problem 50%
  • Universal Algebra 50%
  • Concludes 50%
  8 Citations (Web of Science)

• 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 journal › Article › peer-review

  Open Access

  • Classical Group 100%
  • Permutation Group 33%
  • Stabilizer 33%
  • Representation Theory 33%
  • Primitive Group 33%
  3 Citations (Scopus)

• On s-distance-transitive graphs

  Zhou, H., Praeger, C., Giudici, M., Feng, R. & Fang, X., 21 Oct 2018, (Unpublished) arXiv, 34 p.

  Research output: Working paper › Preprint

  File

  • Transitivity 100%
  • Distance-Regular Graph 50%
  39 Downloads (Pure)

• 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 journal › Article › peer-review

  • Permutation Group 100%
  • Simple Group 50%
  • Maximal Subgroup 50%
  8 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 journal › Article › peer-review

  Open Access

  • Transitive Digraph 100%
  • Complete Classification 25%
  • Simple Group 25%
  8 Citations (Scopus)
• 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 journal › Article › peer-review

  File

  • Positive Integer 100%
  • Automorphism 100%
  • Necessary Condition 100%
  • Dimension of a vector space 100%
  • Symmetric Graph 100%
  1 Citation (Web of Science)

  237 Downloads (Pure)

• 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 journal › Article › peer-review

  Open Access

  • Transitive Digraph 100%
  5 Citations (Scopus)

• 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 journal › Article › peer-review

  Open Access

  File

  • Automorphism Group 100%
  • Integer 100%
  • Semiregular 100%
  • Main Result 100%
  7 Citations (Scopus)

  119 Downloads (Pure)

• 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 journal › Article › peer-review

  • Permutation Group 100%
  • Odd Prime 100%
  • Prime Order 100%
  • Automorphism 33%
  3 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 journal › Article › peer-review

  Open Access

  • Prime Order 100%
  4 Citations (Scopus)
• 2016

  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 26 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Simple Group 100%
  • Projective 100%
  • Stabilizer 14%
  • Integer 14%
  • Automorphism 14%
  5 Citations (Scopus)

  208 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 53 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Linear Group 100%
  • Representation Theory 33%
  • Equal Length 33%
  • Nonzero Vector 33%
  14 Citations (Scopus)

  286 Downloads (Pure)

• 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/Report › Book › peer-review

  • Classical Group 100%
  • Prime Order 50%
  • Permutation Group 25%
  • Special Property 25%
  • Conjugacy Class 25%

• Entry-faithful 2-neighbour transitive codes

  Gillespie, N. I., Giudici, M., Hawtin, D. & Praeger, C., 1 Jun 2016, In: Designs, Codes, and Cryptography. 79, 3, p. 549-564 16 p.

  Research output: Contribution to journal › Article › peer-review

  • Distance formula 100%
  • Automorphism 50%
  8 Citations (Scopus)

• Realizability problem for commuting graphs

  Giudici, M. & Kuzma, B., Dec 2016, In: Journal of the Australian Mathematical Society. 101, 3, p. 335-355 21 p.

  Research output: Contribution to journal › Article › peer-review

  • Semigroup 100%
  • Complete Classification 33%
  • Finite Graph 33%
  • Isolated Vertex 33%
  • Edge 33%
  2 Citations (Scopus)
• 2015

  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 journal › Article › peer-review

  Open Access

  File

  • Graph 100%
  • Edge 100%
  • Vertex 100%
  • Stars 100%
  • Transitivity 33%
  2 Citations (Scopus)

  217 Downloads (Pure)

• 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 journal › Article › peer-review

  Open Access

  • Automorphism 100%
  • Permutation Group 33%
  • Semiregular 33%
  • Connected Digraph 33%
  • Connected Graph 33%
  8 Citations (Scopus)

• 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 journal › Article › peer-review

  Open Access

  File

  • Permutation Group 100%
  • Simple Group 100%
  • Classical Group 100%
  • Equal Length 100%
  • Product Structure 100%
  8 Citations (Scopus)

  284 Downloads (Pure)

• 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 journal › Article › peer-review

  • Stabilizer 100%
  • Nilpotent 50%
  • Structure Theorem 50%
  8 Citations (Scopus)
• 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 journal › Article › peer-review

  Open Access

  File

  • Graph 100%
  • Classes 100%
  395 Downloads (Pure)

• 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 journal › Article › peer-review

  • Upper Bound 100%
  • Counterexample 50%
  • Distinct Vertex 50%
  • Finite Group 50%
  13 Citations (Scopus)

• 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 journal › Article › peer-review

  Open Access

  File

  • Semiregular 100%
  • Automorphism 100%
  • Edge 100%
  • Transitive Digraph 20%
  6 Citations (Scopus)

  235 Downloads (Pure)
• 2013

  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 journal › Article › peer-review
  9 Citations (Web of Science)

• Locally s-distance transitive graphs and pairwise transitive designs

  Devillers, A., Giudici, M., Li, C-H. & Praeger, C., 2013, In: Journal of Combinatorial Theory Series A. 120, 7, p. 1855-1870

  Research output: Contribution to journal › Article › peer-review
  6 Citations (Web of Science)

• 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 journal › Article › peer-review

  • Automorphism Group 100%
  • Affine Type 100%
  • Cayley Graph 50%
  • Necessary Condition 50%
  • Finite Field 50%
  6 Citations (Scopus)

• 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 journal › Article › peer-review
  17 Citations (Scopus)

  14 Downloads (Pure)

• 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 journal › Article › peer-review

  • Upper Bound 100%
  • Finite Group 100%
  35 Citations (Scopus)
• 2012

  An infinite family of biquasiprimitive 2-arc transitive cubic graphs

  Devillers, A., Giudici, M., Li, C-H. & Praeger, C., 2012, In: Journal of Algebraic Combinatorics. 35, 2, p. 173-192

  Research output: Contribution to journal › Article › peer-review
  6 Citations (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 journal › Article › peer-review

  Open Access
  1 Citation (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 journal › Article › peer-review
  2 Citations (Scopus)