Krull-Schmidt Theorem for small profinite groups
| Autor: | Bar-On, Tamar, Nikolov, Nikolay |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We prove that every small profinite group can be decomposed into a direct product of indecomposable profinite groups, and that such a decomposition is unique up to order and isomorphisms of the components. We also investigate the cancellation property of some free pro-$\mathcal{C}$ groups, and give a new criterion for a profinite group to be small. |
| Databáze: | arXiv |
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