Short proofs for some residual properties of free groups (Q1803501)
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scientific article; zbMATH DE number 220988
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Short proofs for some residual properties of free groups |
scientific article; zbMATH DE number 220988 |
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Short proofs for some residual properties of free groups (English)
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29 June 1993
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The author gives short proofs of the following well-known results: 1) For any prime \(p\) the free group \(F_ n\) (\(1\leq n\leq \infty\)) is residually a finite \(p\)-group, 2) If \(S\) is an infinite set of primes then the free group \(F_ 2\) is residually \(PSL_ 2(p)\), for \(p\in S\).
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free group
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residually a finite \(p\)-group
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residually \(PSL_ 2(p)\)
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