Groups whose word problems are not semilinear
Group Theory
2018-04-26 v1
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.
Cite
@article{arxiv.1804.09609,
title = {Groups whose word problems are not semilinear},
author = {Robert H. Gilman and Robert P. Kropholler and Saul Schleimer},
journal= {arXiv preprint arXiv:1804.09609},
year = {2018}
}