Exponential Genus Problems in one-relator products of groups

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dc.creatorDuncan, Andrew J.
dc.date2005-06-03
dc.date.accessioned2026-07-07T05:20:31Z
dc.date.available2026-07-07T05:20:31Z
dc.descriptionExponential 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.
dc.description140 pages, 94 figures
dc.identifierhttps://arxiv.org/abs/math/0506074
dc.identifierhttp://arxiv.org/abs/math/0506074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75404
dc.subjectGroup Theory
dc.subject20F65, 20F05, 20F10 (Primary) 20F06, 57M07 (Secondary)
dc.titleExponential Genus Problems in one-relator products of groups
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