On pro-\(p\)-groups with a single defining relator

DOI10.1007/BF02801571zbMath0790.20046MaRDI QIDQ1802732

N. S. Romanovskii

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

group algebracohomological dimensionderived seriestorsion freefree pro-\(p\)-groupdefining relator

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Derived series, central series, and generalizations for groups (20F14) Limits, profinite groups (20E18)

Related Items (3)

ON TORSION IN FACTORS OF POLYNILPOTENT SERIES OF A GROUP WITH A SINGLE RELATION ⋮ Quasirationality and prounipotent crossed modules ⋮ A Freiheitssatz for free products of pro-\(p\) groups

Cites Work

• Pseudocompact algebras, profinite groups and class formations
• On pro-p-groups with a single defining relator
• Algèbres de Lie et pro-p-groupes définis par une seule relation
• Sur les groupes nilpotents et les anneaux de Lie
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