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My main research interests lie at the intersection of General (or Universal) Algebra and Group Theory. I am particularly interested in the interplay between ideas and tools from General Algebra and groups, and how the former may be used to solve problems in Group Theory.
My research so far reflects these interests. My thesis and early work dealt with amalgams of nilpotent groups, and made strong use of dominions, a construction introduced by Isbell in a General Algebra context. It also explored the notion of epimorphism in varieties of groups.
In my most recent work, I have used many of the ideas (in particular, the nilpotent product, a type of coproduct) to investigate the very down-to-Earth group theoretic problem of capability of groups.
I have a summary of my results so far.
Finally, a link to a list of relevant references.
Last modified: July 30, 2003