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

Natural Sciences / Mathematics / Statistics

Submitted on: Jul 06, 2012, 02:50:22

Description: 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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