We give a sufficient 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 nonmonogenic free inverse semigroups have irrational growth. A new criterion for polynomial growth is proved and is used to sho
Degree of Growth of Some Inverse Semigroups
β Scribed by Joseph Lau
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 183 KB
- Volume
- 204
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
We show that if a finitely presented Rees quotient of a free inverse semigroup ww xx has polynomial growth, then its growth series is in a certain subsemiring of β«ήβ¬ 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.
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