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math.GR2019
Geodesic growth in virtually abelian groups
Alex Bishop
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, a…
math.GR2018
Bounded Automata Groups are co-ET0L
Alex Bishop, Murray Elder
Holt and Röver proved that finitely generated bounded automata groups have indexed co-word problem. Here we sharpen this result to show they are in fact co-ET0L.