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arXiv · 1804.09609

Groups whose word problems are not semilinear

Robert H. Gilman·Robert P. Kropholler·Saul Schleimer
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Abstract

Suppose that G is a finitely generated group and W is the formal language of words defining the identity in G. We prove that if G is a nilpotent group, the fundamental group of a finite volume hyperbolic three-manifold, or a right-angled Artin group whose graph lies in a certain infinite class, then W is not a multiple context free language.

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Robert H. Gilman, Robert P. Kropholler, Saul Schleimer. 2018-04-25. Groups whose word problems are not semilinear. https://arxiv.org/abs/1804.09609

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