Degree of Growth of some Inverse Semigroups


Joseph Lau


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 growth.

Key phrases

degree of growth. polynomial growth. inverse semigroups.

AMS Subject Classification (1991)

Primary: 20M05
Secondary: 20M18, 20M99


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Sydney Mathematics and Statistics