Parallel poly pushdown groups

Mathematics – Group Theory

Scientific paper

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Plain TeX, 16 pages

Scientific paper

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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