Finitely presented monoids with linear Dehn function need not have regular cross-sections
arXiv:1203.0473 · doi:10.1007/s00233-013-9531-6
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.
13 pages; 1 table