On the growth of finitely presented inverse semigroups
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)