Rational Growth of a Class of Inverse Semigroups
Research Report 96-31
Date: August 1996, revised January 1997
We give a necessary condition for a finitely presented Rees quotient of a free
inverse semigroup to have rational growth. Using related techniques we give a
new proof that non-monogenic free inverse semigroups have irrational growth.
A new criterion for polynomial growth is proved and used to show that
polynomial growth implies rational growth. However we give an example of such
a semigroup which has rational and exponential growth.
rational growth. polynomial growth. inverse semigroups.
AMS Subject Classification (1991)
Secondary: 20M18, 20M99
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Sydney Mathematics and Statistics