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arXiv · 2602.21815

On subgroup growth of iterated wreath products in product action

Matteo Vannacci
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Abstract

We show that there are hereditarily just infinite groups of any subgroup growth type between $n$ and $n^{\log n}$. This is obtained calculating the subgroup growth type of a family of hereditarily just infinite profinite groups obtained via iterated wreath products of finite permutation groups with respect to product actions.

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Matteo Vannacci. 2026-02-25. On subgroup growth of iterated wreath products in product action. https://arxiv.org/abs/2602.21815

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