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Monoid presentations of groups. (English) Zbl 0924.20041
The paper discusses the problem whether a given one-relation monoid is a group by exhibiting some positive and negative examples. (Reviewer’s remark: This question was discussed and answered by S. I. Adyan [Tr. Mat. Inst. Steklov 85 (1966; Zbl 0204.01702)]. See also G. Lallement [J. Algebra 32, 370-388 (1974; Zbl 0307.20034)]).

MSC:
20M05 Free semigroups, generators and relations, word problems
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