Free subgroups in groups of small deficiency

DOI10.1515/jgth.1998.004zbMath0888.20018OpenAlexW2015298588MaRDI QIDQ4375861

James Howie

Publication date: 7 June 1998

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth.1998.004

zbMATH Keywords

free subgroupscyclically reduced wordsfinitely presented groupsTits alternativefinite presentationsdeficienciesgeneralized triangle groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05)

Related Items (10)

Strong Tits alternatives for compact 3-manifolds with boundary ⋮ Some 3-manifolds and 3-orbifolds with large fundamental group ⋮ Relative hyperbolicity and similar properties of one-generator one-relator relative presentations with powered unimodular relator. ⋮ Large hyperbolic lattices. ⋮ Proving Finitely Presented Groups are Large by Computer ⋮ Free subgroups in certain generalized triangle groups of type \((2,m,2)\). ⋮ Large groups of deficiency 1. ⋮ On the cut number of a \(3\)-manifold ⋮ Uniform non-amenability ⋮ A proof of the Scott-Wiegold conjecture on free products of cyclic groups

Cites Work

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• Groups with balanced presentations
• On free subgroups of generalized triangle groups
• Free subgroups and decompositions of one-relator products of cyclics. I: The Tits alternative
• Valuations and Finitely Presented Metabelian Groups
• Groups with two More Generators Than Relators

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