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Groups and semigroups in analysis: a conference in honour of J.S. Pym on the occasion of his retirement
May 30 - June 1, 2003
University of Sheffield
Sheffield, UK

Organizers
A. Lau, University of Alberta; P. Milnes, University of Western Ontario; R. Sharp, University of Sheffield; D. Strauss, University of Hull

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Chains of rectangular semigroups in \betaN.
by
D. Strauss
University of Hull
Coauthors: N.Hindman and Y.Zelenuk

I was first inspired to work in \betaN by a talk in which John showed that every maximal group in the smallest ideal of \betaN contained copies of the free group on 2c generators. This amazed and fascinated me, and I have been working on \betaN ever since. I shall discuss the existence of another kind of large semigroup in \betaN - a semigroup which consists of a chain of c rectangular components, each with 2c elements.

Date received: February 12, 2003


Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cakn-05.