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

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The 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.
7 pages, no figures

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Group Theory, Symbolic Computation, 20E05, 20F05, 68T05 (Primary), 57M05,57M20. (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/67169

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304305
 http://arxiv.org/abs/math/0304305
 In W.Kantor and A.Seress,editors, Groups and Computation III, volume 23, (2001) 257-263, Berlin

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arXiv