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Geodesic growth in virtually abelian groups
Published 20 Aug 2019 in math.GR | (1908.07294v4)
Abstract: We show that the geodesic growth function of any finitely generated virtually abelian group is either polynomial or exponential; and that the geodesic growth series is holonomic, and rational in the polynomial growth case. In addition, we show that the language of geodesics is blind multicounter.
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