The equation x 2 y 2 = g in partially commutative groups |
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| Authors: | S. L. Shestakov |
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| Affiliation: | (1) Vologda State Pedagogical University, Vologda, Russia |
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| Abstract: | A partially commutative group is a group defined by generators and relations so that all defining relations are of the form: the commutator of two generators is equal to the identity element. We consider an algorithm for checking whether a given group element is a product of two squares. This generalizes a result of Wicks for free groups. |
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| Keywords: | partially commutative groups equations in groups |
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