On the Andrews-Curtis conjecture and algorithms from topology

Details On the Andrews-Curtis conjecture and algorithms from topology On the Andrews-Curtis conjecture and algorithms from topology

2001-08-08

arxiv.org/abs/math/0108053v1

Mathematics

Group Theory

12 pages, 7 figures

Scientific paper

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.

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