A Freiheitssatz for free products of pro-\(p\) groups

DOI10.1016/S0021-8693(02)00103-5zbMath1021.20021OpenAlexW2052044232MaRDI QIDQ1858163

N. S. Romanovskii, John S. Wilson

Publication date: 12 February 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00103-5

zbMATH Keywords

relationsembeddingsFreiheitssatzfree pro-\(p\) groupspresentations of pro-\(p\) groupsfinitely generated free nilpotent groupsfree products of pro-\(p\) groups

Mathematics Subject Classification ID

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

Cites Work

• A generalized theorem on freedom for pro-p-groups
• Free subgroups of finitely presented groups
• On pro-\(p\)-groups with a single defining relator
• On the Embedding of Rings in Skew Fields
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