Abstract
We apply the P. Hall enumeration principle to count the number of subgroups of a given index in the free pro-p group and the free abelian group. We shall present an infinite family of non-isomorphic pro-p groups with the same zeta function.
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Ilani, I. Counting finite index subgroups and the P. Hall enumeration principle. Israel J. Math. 68, 18–26 (1989). https://doi.org/10.1007/BF02764966
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DOI: https://doi.org/10.1007/BF02764966