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arXiv · 0802.3544

Algorithmic and combinatorial methods for enumerating the relators of a group presentation

Carmelo Vaccaro
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Abstract

The main achievement of this thesis is an algorithm which given a finite group presentation and natural numbers n and k, computes all the relators of length and area up to n and k respectively. The complexity of this algorithm is better by a factor which is over-exponential than that of classical methods using van Kampen diagrams.

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Carmelo Vaccaro. 2008-02-24. Algorithmic and combinatorial methods for enumerating the relators of a group presentation. https://arxiv.org/abs/0802.3544

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