Parallel poly pushdown groups
G. Baumsalg, M. Shapiro, H. Short
Abstract
We define a class of groups based on parallel computations by pushdown automata. This class generalizes automatic groups. It includes the fundamental groups of all 3-manifolds which obey Thurston' s geometrization conjecture. It also includes nilpotent groups of arbitrary class and polynomial degree isoperimetric inequality. It is closed under wreath product.
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