Lookup NU author(s): Dr Andrew Duncan
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Exponential equations in free groups were studied initially by Lyndon and Schutzenberger and then by Comerford and Edmunds. Comerford and Edmunds showed that the problem of determining whether or not the class of quadratic exponential equations have solution is decidable, in finitely generated free groups. In this paper we show that for finite systems of quadratic exponential equations decidability passes, under certain hypotheses, from the factor groups to free products and one-relator products.
Author(s): Duncan AJ
Publication type: Article
Publication status: Published
Journal: Memoirs of the American Mathematical Society
ISSN (print): 0065-9266
ISSN (electronic): 1947-6221
Publisher: American Mathematical Society