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arXiv · 1103.1295

The Finitary Andrews-Curtis Conjecture

Alexandre V. Borovik·Alexander Lubotzky·Alexei G. Myasnikov
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Abstract

The well known Andrews-Curtis Conjecture [2] is still open. In this paper, we establish its finite version by describing precisely the connected components of the Andrews-Curtis graphs of finite groups. This finite version has independent importance for computational group theory. It also resolves a question asked in [5] and shows that a computation in finite groups cannot lead to a counterexample to the classical conjecture, as suggested in [5].

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Alexandre V. Borovik, Alexander Lubotzky, Alexei G. Myasnikov. 2011-03-07. The Finitary Andrews-Curtis Conjecture. https://arxiv.org/abs/1103.1295

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