Groups whose three-generator subgroups are free
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Publication:4731358
DOI10.1017/S0004972700004275zbMath0682.20016MaRDI QIDQ4731358
Peter B. Shalen, Gilbert Baumslag
Publication date: 1989
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
deficiencyfinitely presentedfundamental groups of 3-manifolds3-generator subgroupfinitely generated, freely indecomposable subgroupsubgroups of free products with amalgamation
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Related Items (6)
On 2-systoles of hyperbolic 3-manifolds ⋮ Locally free subgroups of one-relator groups ⋮ Homology and volume of hyperbolic \(3\)-orbifolds, and enumeration of arithmetic groups ⋮ On monoids, 2-firs, and semifirs. ⋮ A sharper Tits alternative for 3-manifold groups ⋮ Centralizers and normalizers of subgroups of \(\text{PD}_3\)-groups and open \(\text{PD}_3\)-groups.
Cites Work
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- A Unique Decomposition Theorem for 3-Manifolds
- Generalized Free Products whose Two-Generator Subgroups are Free
- The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
- Compact Submanifolds of 3-Manifolds
- Über freie Faktorgruppen und freie Untergruppen gegebener Gruppen
- An essay on free products of groups with amalgamations
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