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arXiv · 1804.06018

Orientable quadratic equations in free metabelian groups

Igor Lysenok·Alexander Ushakov
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Abstract

We prove that the Diophantine problem for orientable quadratic equations in free metabelian groups is decidable and furthermore, NP-complete. In the case when the number of variables in the equation is bounded, the problem is decidable in polynomial time.

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Igor Lysenok, Alexander Ushakov. 2018-04-17. Orientable quadratic equations in free metabelian groups. https://arxiv.org/abs/1804.06018

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