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| Główni autorzy: | , , , , |
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| Format: | Preprint |
| Wydane: |
2025
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| Hasła przedmiotowe: | |
| Dostęp online: | https://arxiv.org/abs/2507.19086 |
| Etykiety: |
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Spis treści:
- It is shown that a probabilistic identity on a $σ$-compact $K$-analytic group $G$, $K$ a non-archimedean local field, is a coset identity. As an application, one concludes that compact $K$-analytic groups and various pro-$p$ groups obtained from free constructions satisfy a probabilistic Tits alternative. By means of Lie-theoretic methods, we also study torsion probabilistic identities in virtually free pro-$p$ and compact $p$-adic analytic groups.