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Analysing Finite Locally s-arc Transitive Graphs
- Michael Giudici, Caiheng 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…
Factorisations of sporadic simple groups
- Michael Giudici
- Mathematics
- 1 October 2006
Completely Transitive Codes in Hamming Graphs
- Michael Giudici, C. Praeger
- Computer Science, MathematicsEur. J. Comb.
- 1 October 1999
TLDR
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…
Small Maximal Sum-Free Sets
- Michael Giudici, S. Hart
- MathematicsElectron. J. Comb.
- 11 May 2009
TLDR
Transitive Permutation Groups Without Semiregular Subgroups
- P. Cameron, Michael Giudici, L. Nowitz
- Mathematics
- 1 October 2002
A transitive finite 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…
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…
Point regular groups of automorphisms of generalised quadrangles
- J. Bamberg, Michael Giudici
- Mathematics, GeologyJ. Comb. Theory, Ser. A
- 13 May 2010
There is no upper bound for the diameter of the commuting graph of a finite group
- Michael Giudici, C. Parker
- MathematicsJ. Comb. Theory, Ser. A
- 1 October 2012
On Bounding the Diameter of the Commuting Graph of a Group
- Michael Giudici, Aedan Pope
- Mathematics
- 17 June 2012
The commuting graph of a group $G$ is the simple undirected graph whose vertices are the non-central elements of $G$ and two distinct vertices are adjacent if and only if they commute. It is…
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