English

On the Andrews-Curtis conjecture and algorithms from topology

Group Theory 2007-05-23 v1 Geometric Topology

Abstract

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.

Keywords

Cite

@article{arxiv.math/0108053,
  title  = {On the Andrews-Curtis conjecture and algorithms from topology},
  author = {Siddhartha Gadgil},
  journal= {arXiv preprint arXiv:math/0108053},
  year   = {2007}
}

Comments

12 pages, 7 figures

R2 v1 2026-07-22T16:39:54.767Z