On the Andrews-Curtis conjecture and algorithms from topology

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We relate the Andrews-Curtis conjecture to the triviality problem for balanced presentations of groups using algorithms from 3-manifold topology. Implementing this algorithm could lead to counterexamples to the Andrews-Curtis conjecture.
12 pages, 7 figures

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Group Theory, Geometric Topology, 20F05; 57M07

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http://salesiana.dossiersoluciones.com/handle/123456789/61987

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108053
 http://arxiv.org/abs/math/0108053

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arXiv