On subgroup growth of iterated wreath products in product action
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917294094942208 |
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| author | Vannacci, Matteo |
| author_facet | Vannacci, Matteo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21815 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On subgroup growth of iterated wreath products in product action Vannacci, Matteo Group Theory 20E18, 20E07, 20E22 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. |
| title | On subgroup growth of iterated wreath products in product action |
| topic | Group Theory 20E18, 20E07, 20E22 |
| url | https://arxiv.org/abs/2602.21815 |