A generalized theorem on freedom for pro-p-groups

DOI10.1007/BF00969395zbMath0604.20028OpenAlexW2078766789MaRDI QIDQ1083540

N. S. Romanovskii

Publication date: 1986

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00969395

zbMATH Keywords

relationsvarietyquasi-varietiesprofinite groupsfree M-algebrasnilpotent pro-p-groupssoluble pro-p-groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Quasivarieties and varieties of groups (20E10) Limits, profinite groups (20E18)

Related Items (max. 100)

Free product decompositions in images of certain free products of groups. ⋮ Full rank presentations and nilpotent groups: structure, Diophantine problem, and genericity ⋮ \(\mathbb Q\)-completions of free solvable groups. ⋮ Identities for Lie algebras of pro-\(p\) groups ⋮ A Freiheitssatz for free products of pro-\(p\) groups ⋮ On some \(\Lambda\)-analytic pro-\(p\) groups

Cites Work

• Unnamed Item
• On pro-p-groups with a single defining relator
• On the Embedding of Rings in Skew Fields
• A Note on Zero Divisors in Group-Rings

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