Closure Properties in the Class of Multiple Context Free Groups
We show that the class of groups with $k$-multiple context-free word problem is closed under graphs of groups with finite edge groups.
math.GR↗
arXiv subjects
Robert P. Kropholler
Publications and source records attributed to Robert P. Kropholler.
Groups whose word problems are not semilinear
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.
math.GR↗