Projects per year

## Personal profile

### Research

My research interests lie in the area of permutation groups and their action on various combinatorial structures. This has had three main themes: the study of theoretical properties of permutation groups, analysing graphs with a high degree of symmetry, and the study of symmetry properties of geometries.

### Keywords

- Algebraic combinatorics
- Group theory
- graph symmetry

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

- 6 Similar Profiles

Permutation group
Mathematics

Arc-transitive Graph
Mathematics

Semiregular
Mathematics

Primitive Group
Mathematics

Factorization
Mathematics

Digraph
Mathematics

Automorphisms
Mathematics

Vertex-transitive
Mathematics

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Network
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## Projects 2004 2021

## Permutation Groups and their Interplay with Symmetry in Finite Geometry and Graph Theory

1/01/09 → 31/12/13

Project: Research

## Research Output 1998 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

Open Access

Permutation group

Primitive Group

Semiregular

Universal Algebra

Collapsing

## 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

Open Access

Classical Groups

Primitive Group

Permutation group

Simple group

Representation Theory

## 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 journal › Article

Open Access

Permutation group

Graph in graph theory

Primitive Group

Hamiltonicity

Clique number

## 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

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 journal › Article

Open Access

Digraph

Arc of a curve

Vertex of a graph

Simple group