Finitely presented monoids with linear Dehn function need not have regular cross-sections |
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| Authors: | Alan J Cain Victor Maltcev |
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| Institution: | 1. Centro de Matemática, Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal
2. Mathematics Department, Technion—Israel Institute of Technology, Haifa, 32000, Israel
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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 with the fact that finitely presented groups with linear Dehn function always have regular cross-sections. |
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