Local indicability and relative presentations of groups (Q1861485)
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scientific article; zbMATH DE number 1878461
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local indicability and relative presentations of groups |
scientific article; zbMATH DE number 1878461 |
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Local indicability and relative presentations of groups (English)
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9 March 2003
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A group is called locally indicable if every of its non-trivial finitely generated subgroups admits a surjection onto the integers. In this paper the author generalizes under certain hypotheses three central results of one-relator group theory: Magnus' Freiheitssatz, Lyndon's identity theorem, and Brodskii's theorem on locally indicability of torsion-free one-relator groups.
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relative presentations
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locally indicable groups
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finitely generated subgroups
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one-relator groups
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