MATHEMATICS RESEARCH AREAS

DANE FLANNERY is interested in the theory of finite linear (matrix) groups. Every finite group can be represented as a group of invertible matrices. Currently the development of algorithms for linear groups is one of the most active areas of computational group theory. The representation of a finite group in matrix form affords an accessible and efficient way of computing with the group; one reason for this is that a small set of generating matrices can designate a very large group. Recent work is on the classification of irreducible monomial linear groups over a finite field. Current work deals with algorithms for providing computer access to the linear group classifications, as part of a broader project dealing with topics in computing with soluble matrix groups. Collaborators on this project are A. Detinko (Polotsk, Belarus) and E. A. O'Brien (Auckland) .

Ted Hurley has research interests in Group Theory, Group Varieties, Computational Group Theory, Associative and non-Associative Rings and Algebras particularly Group Rings and Lie Algebras. Specifically these are classified under the Mathematics Subject Classification (MSC) of the American Mathematical Society as MSC 20 (particularly 20E and 20F), MSC 16 and MSC 17.

GOETZ PFEIFFER is interested in finite groups, representation theory, computational group theory, algebraic combinatorics and semigroups. He has participated in the development of the GAP system for computational group theory. He is one of the authors of the CHEVIE package for generic character tables of finite groups of Lie type and associated structures like Weyl groups and Hecke algebras. He has co-authored a book about the representation theory of finite Coxeter groups and the associated Iwahori-Hecke algebras. He has developed a GAP package for structural investigations of finite monoids. Currently, he is working on algorithms for descent algebras of finite Coxeter groups.