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Rational Growth of a Class of Inverse Semigroups

✍ Scribed by Joseph Lau

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
221 KB
Volume
204
Category
Article
ISSN
0021-8693

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✦ Synopsis

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 show that polynomial growth implies rational growth. However we give an example of such a semigroup which has rational and exponential growth.

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