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arXiv · 1203.0473

Finitely presented monoids with linear Dehn function need not have regular cross-sections

Alan J. Cain·Victor Maltcev
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Abstract

This paper shows that a finitely presented monoid with linear Dehn function need not have a regular cross-section, strengthening the previously-known result that such a monoid need not be presented by a finite complete string rewriting system, and contrasting the fact that finitely presented groups with linear Dehn function always have regular cross-sections.

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Alan J. Cain, Victor Maltcev. 2012-03-02. Finitely presented monoids with linear Dehn function need not have regular cross-sections. https://doi.org/10.1007/s00233-013-9531-6

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