The City College of New YorkCCNY
Department of Mathematics
Division of Science

On the growth of finitely presented inverse semigroups

New York Group Theory Seminar

Time and place

4 PM on Friday, November 19th, 2010; GC 5417

Lev Shneerson (Hunter College, CUNY)

Abstract

We discuss conditions under which finitely presented Rees quotients of free inverse semigroups have polynomial growth. In particular, we present an inverse analog of a classical result that characterizes polynomial growth of finitely presented Rees quotients of free semigroups in terms of primitive words that label loops of the Ufnarovskij graph of the presentation. Some other applications of our results and methods will be considered.

Joint work with David Easdown (School of Mathematics and Statistics, The University of Sydney, Australia)

The City College of New YorkCUNY
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