MILES, Richard and WARD, Thomas (2008). Orbit-counting for nilpotent group shifts. Proceedings of the American Mathematical Society (PROC), 137, 1499-1507.
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Link to published version:: https://doi.org/10.1090/S0002-9939-08-09649-4
Abstract
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 M{\"o}bius function on the lattice of subgroups of finite index and known subgroup growth estimates, we find a single asymptotic of the shape
Item Type: | Article |
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Departments - Does NOT include content added after October 2018: | Faculty of Social Sciences and Humanities > Department of Teacher Education |
Identification Number: | https://doi.org/10.1090/S0002-9939-08-09649-4 |
Page Range: | 1499-1507 |
Depositing User: | Richard Miles |
Date Deposited: | 26 Jan 2018 14:22 |
Last Modified: | 18 Mar 2021 16:30 |
URI: | https://shura.shu.ac.uk/id/eprint/17231 |
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