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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

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


Authors: J. Avenhaus, K. Madlener and F. Otto
Journal: Trans. Amer. Math. Soc. 297 (1986), 427-443
MSC: Primary 20F10; Secondary 03D03, 03D40, 20F05
MathSciNet review: 854076
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1986-0854076-5
PII: S 0002-9947(1986)0854076-5
Keywords: Group, monoid-presentation, Church-Rosser property, monadic system, context-free group, free product of groups
Article copyright: © Copyright 1986 American Mathematical Society