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Exponential Genus Problems in One-Relator Products of Groups

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Exponential Genus Problems in One-Relator Products of Groups Synopsis

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 the author shows that for finite systems of quadratic exponential equations decidability passes, under certain hypotheses, from the factor groups to free products and one-relator products.

About This Edition

ISBN: 9780821839454
Publication date:
Author: A J Duncan
Publisher: American Mathematical Society
Format: Paperback
Pagination: 156 pages
Series: Memoirs of the American Mathematical Society
Genres: Algebraic topology
Groups and group theory