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Research Interests
Group Theory. Generalised Free Products and Groups with few Defining Relations
The main areas in which research is presently conducted are: free groups, free products and their generalisations. These groups tend to arise in a
topological or logical setting. They are studied here, however, mostly for their own sake, the main interest being in their "residual" properties. Since these
properties have been fairly well explored for free groups and free products themselves, more attention is now paid to their generalisations: if one
imposes an extra relation on the generators of a free group (resp. free product), one arrives at the concept of one-relator group (resp. one-relator
product). Other related constructions which receive attention are the so-called HNN-extensions, the somewhat older generalised free products and
their natural generalisation , the recently introduced polygonal products.
Undergraduate Textbooks
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Rings, Fields and Groups - an introduction to abstract algebra.
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Introduction to Number Theory with Computing (with E.J.Redfern).
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Linear Algebra.
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Numbers and Proofs.
(All originally published by Edward Arnold - now issued by
Butterworth Heinemann.)
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