Degree of Growth of some Inverse Semigroups
Research Report 97-3
Date: 5 February 1997
We show that if a finitely presented Rees quotient of a free inverse semigroup
has polynomial growth, then its growth series is in a certain subsemiring of
N[[z]]. We present a procedure for calculating the degree of growth of such a
semigroup and use it to determine the possible values for the degree of
degree of growth. polynomial growth. inverse semigroups.
AMS Subject Classification (1991)
Secondary: 20M18, 20M99
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Sydney Mathematics and Statistics