Free subgroups in groups with few relators.

DOI10.4171/LEM/56-1-6zbMath1206.20041OpenAlexW1983428016MaRDI QIDQ993659

John S. Wilson

Publication date: 20 September 2010

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/lem/56-1-6

zbMATH Keywords

relationspresentationsfinitely generated groupsfree productsfree subgroupsfinite generating systemsMagnus Freiheitssatzfree pro-\(p\) groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Limits, profinite groups (20E18)

Related Items (3)

Free polynilpotent groups and the Magnus property ⋮ Surjectivity of certain word maps on \(\mathrm{PSL}(2,\mathbb {C})\) and \(\mathrm{SL}(2,\mathbb {C})\) ⋮ Surjectivity of word maps on special linear groups of degree 2

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