Prosoluble subgroups of free profinite products
| Autor: | Zalesskii, Pavel |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We describe free prosoluble subgroups of a free product of profinite groups by strengthening the theorem of Frorian Pop and answering two questions of K. Ersoy and W. Herfort. Relatively projective prosoluble groups are also described. Comment: Theorem 1.5 of this version is proved within slightly more general definition of relative projectivity (see Definition 5.1.1 in D. Haran and M. Jarden, The absolute Galois Group of a Semi-local Field, Springer, 2021) than in the version to appear in Forum of Mathematics, Sigma |
| Databáze: | arXiv |
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