• Corpus ID: 237485135

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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2 Citations

2 Citations

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TLDR
The concept of the nilpotent group is described and some properties of thenilpotent groups are described.