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Analysing Finite Locally s-arc Transitive Graphs

- Michael Giudici, C. Li, C. Praeger
- Mathematics
- 25 August 2003

We present a new approach to analysing finite graphs which admit a vertex intransitive group of automorphisms G and are either locally (G, s)-arc transitive for s > 2 or G-locally primitive. Such… Expand

Quasiprimitive groups with no fixed point free elements of prime order

- Michael Giudici
- Mathematics
- 1 February 2003

The paper determines all permutation groups with a transitive minimal normal subgroup that have no fixed point free elements of prime order. All such groups are primitive and are wreath products in a… Expand

Factorisations of sporadic simple groups

- Michael Giudici
- Mathematics
- 1 October 2006

Abstract We determine all factorisations G = A B where the socle of G is a sporadic simple group.

Completely Transitive Codes in Hamming Graphs

- Michael Giudici, C. Praeger
- Computer Science, Mathematics
- Eur. J. Comb.
- 1 October 1999

A code in a graph ? is a non-empty subset C of the vertex set V of ?. Given C, the partition of V according to the distance of the vertices away from C is called the distance partition of C. A… Expand

Small Maximal Sum-Free Sets

- Michael Giudici, S. Hart
- Mathematics, Computer Science
- Electron. J. Comb.
- 11 May 2009

TLDR

Transitive Permutation Groups Without Semiregular Subgroups

- P. Cameron, Michael Giudici, +4 authors Lewis A. Nowitz
- Mathematics
- 1 October 2002

A transitive nite permutation group is called elusive if it contains no nontrivial semiregular subgroup. The purpose of the paper is to collect known information about elusive groups. The main… Expand

New Constructions of Groups Without Semiregular Subgroups

- Michael Giudici
- Mathematics
- 12 September 2007

An elusive permutation group is a transitive permutation group with no fixed point free elements of prime order, or equivalently, no nontrivial semiregular subgroups. We provide several new… Expand

Point regular groups of automorphisms of generalised quadrangles

- John Bamberg, Michael Giudici
- Computer Science, Mathematics
- J. Comb. Theory, Ser. A
- 13 May 2010

TLDR

Finite primitive permutation groups and regular cycles of their elements

- Michael Giudici, C. Praeger, P. Spiga
- Mathematics
- 15 November 2013

We conjecture that if G is a finite primitive group and if g is an element of G, then either the element g has a cycle of length equal to its order, or for some r,m and k, the group GSym(m)wrSym(r),… Expand

An infinite family of biquasiprimitive 2-arc transitive cubic graphs

- Alice Devillers, Michael Giudici, C. Li, C. Praeger
- Mathematics
- 29 March 2011

A new infinite family of bipartite cubic 3-arc transitive graphs is constructed and studied. They provide the first known examples admitting a 2-arc transitive vertex-biquasiprimitive group of… Expand

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