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Genetic Algorithms for Word Problems in Partially Commutative Groups

Matthew Craven
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Abstract

We describe an implementation of a genetic algorithm on partially commutative groups and apply it to the double coset search problem on a subclass of groups. This transforms a combinatorial group theory problem to a problem of combinatorial optimisation. We obtain a method applicable to a wide range of problems and give results which indicate good behaviour of the genetic algorithm, hinting at the presence of a new deterministic solution and a framework for further results.

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Matthew Craven. 2007-05-02. Genetic Algorithms for Word Problems in Partially Commutative Groups. https://arxiv.org/abs/math/0405396

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