Computational group theory, mainly finite permutation groups. I'm especially interested in the table of marks of a finite group. I'm a maintainer of the
GAP table of marks library Tomlib together with
Gotz Pfeiffer. In my capacaity as the coordinator of the mathematics support centre
SUMS I've also developed an interest in mathematics education.
Publications
- Computing the Table of Marks of a Cyclic Extensions, with G. Pfeiffer,
Math. Comp. 81 (2012), no. 280, 2419 - 2438.
-
Integer Sequences realized by the Subgroup pattern of the Symmetric Group, with G. Pfeiffer, J. Integer Seq.
16
(2013), no. 5, Article
13.5.8
, 23 pages
Theses
- Computing the Table of Marks of a Finite Group, PhD Thesis NUI Galway 2010.
- The Subgroups of the Symmetric Group on Thirteen Points, MSc Thesis NUI Galway 2006.
Software
- Tomlib, The GAP Table of Marks Library Version 1.2.1 2011.
- Comptom, A Collection of programs to compute the Table of Marks of A Cyclic Extension.
- CountingSubgroups, A Collection of programs to count subgroups of the symmetric group with different properties.