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Item Details
Title: EXPONENTIAL GENUS PROBLEMS IN ONE-RELATOR PRODUCTS OF GROUPS
By: A. J. Duncan
Format: Paperback

List price: £68.00
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ISBN 10: 0821839454
ISBN 13: 9780821839454
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Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 February, 2007
Edition: Illustrated edition
Series: Memoirs of the American Mathematical Society No. 186
Pages: 156
Description: 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.
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.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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