Orbit-counting for Nilpotent Group Shifts
نویسندگان
چکیده
We study the asymptotic behaviour of the orbit-counting function and a dynamical Mertens’ theorem for the full G-shift for a finitely-generated torsion-free nilpotent group G. Using bounds for the Möbius function on the lattice of subgroups of finite index and known subgroup growth estimates, we find a single asymptotic of the shape
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