Non-free torsion-free profinite groups with open free subgroups (Q1073905)
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scientific article; zbMATH DE number 3946439
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-free torsion-free profinite groups with open free subgroups |
scientific article; zbMATH DE number 3946439 |
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Non-free torsion-free profinite groups with open free subgroups (English)
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1985
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A conjecture by Jarden generalizing Serre's result, that every torsion- free pro-p-group containing an open free subgroup is free, is disproved by showing that for every \(e\geq 3\) there exists a non-free torsion-free profinite group containing an open free subgroup isomorphic to \(\hat F_ e\). It has been shown previously that the conjecture is true for \(e=2\) and does not hold for \(e=1\) and for e infinite.
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non-free torsion-free profinite group
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open free subgroup
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