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arXiv · 1311.3955

Inverse semigroups with rational word problem are finite

Tara Brough
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Abstract

This note proves a generalisation to inverse semigroups of Anisimov's theorem that a group has regular word problem if and only if it is finite, answering a question of Stuart Margolis. The notion of word problem used is the two-tape word problem -- the set of all pairs of words over a generating set for the semigroup which both represent the same element.

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Tara Brough. 2013-11-15. Inverse semigroups with rational word problem are finite. https://arxiv.org/abs/1311.3955

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