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Exponential Genus Problems in One-Relator Products of Groups

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.

Publication metadata

Author(s): Duncan AJ

Publication type: Article

Publication status: Published

Journal: Memoirs of the American Mathematical Society

Year: 2007

Pages: 140

ISSN (print): 0065-9266

ISSN (electronic): 1947-6221

Publisher: American Mathematical Society