Balanced presentations of the trivial group on two generators and the Andrews-Curtis conjecture

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dc.creatorMiasnikov, Alexei D.
dc.creatorMyasnikov, Alexei G.
dc.date2003-04-21
dc.date.accessioned2026-07-07T04:57:09Z
dc.date.available2026-07-07T04:57:09Z
dc.descriptionThe Andrews-Curtis conjecture states that every balanced presentation of the trivial group can be reduced to the standard one by a sequence of the elementary Nielsen transformations and conjugations. In this paper we describe all balanced presentations of the trivial group on two generators and with the total length of relators <= 12. We show that all these presentations satisfy the Andrews-Curtis conjecture.
dc.description7 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0304305
dc.identifierhttp://arxiv.org/abs/math/0304305
dc.identifierIn W.Kantor and A.Seress,editors, Groups and Computation III, volume 23, (2001) 257-263, Berlin
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67169
dc.subjectGroup Theory
dc.subjectSymbolic Computation
dc.subject20E05, 20F05, 68T05 (Primary), 57M05,57M20. (Secondary)
dc.titleBalanced presentations of the trivial group on two generators and the Andrews-Curtis conjecture
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