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arXiv · 1703.04169

Nonequational Stable Groups

Isabel Müller·Rizos Sklinos
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Abstract

We introduce a combinatorial criterion for verifying whether a formula is not the conjunction of an equation and a co-equation. Using this, we give a proof for the nonequationality of the free group. Furthermore, we generalize the latter result to the first-order theory of any free product of groups of the form $G*\mathbb{F}_{\omega}$.

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Isabel Müller, Rizos Sklinos. 2017-03-12. Nonequational Stable Groups. https://arxiv.org/abs/1703.04169

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