Groups presented by finite two-monadic Church-Rosser Thue systems

Avenhaus, J.; Madlener, K.; Otto, F.

doi:10.1090/S0002-9947-1986-0854076-5

Groups presented by finite two-monadic Church-Rosser Thue systems
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by J. Avenhaus, K. Madlener and F. Otto

Trans. Amer. Math. Soc. 297 (1986), 427-443

DOI: https://doi.org/10.1090/S0002-9947-1986-0854076-5

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Abstract:

It is shown that a group $G$ can be defined by a monoid-presentation of the form $(\Sigma ;T)$, where $T$ is a finite two-monadic Church-Rosser Thue system over $\Sigma$, if and only if $G$ is isomorphic to the free product of a finitely generated free group with a finite number of finite groups.

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