A remark on the degree of polynomial subgroup growth of nilpotent groups
@inproceedings{Sulca2021ARO, title={A remark on the degree of polynomial subgroup growth of nilpotent groups}, author={Diego Sulca}, year={2021} }
We show that if two finitely generated nilpotent groups have isomorphic C-Mal’cev completions, then their subgroup (resp. normal) zeta functions have the same abscissa of convergence. A similar result is formulated and proved for zeta functions of finitely generated virtually nilpotent groups.
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