Residual nilpotence and residual solubility of groups

DOI10.1070/SM2005v196n11ABEH003725zbMath1138.20032OpenAlexW2076525360MaRDI QIDQ5459405

Roman Mikhailov

Publication date: 28 April 2008

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2005v196n11abeh003725

zbMATH Keywords

central extensionsone-relator groupsresidually nilpotent groupsresidually solvable groupsresidual nilpotence of central extensions of groupsresidual solvability of Abelian extensions of groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Residual properties and generalizations; residually finite groups (20E26) Quasivarieties and varieties of groups (20E10)

Related Items (4)

On residual nilpotence of group extensions ⋮ Schur multiplier and (residual) nilpotent Lie rings ⋮ Homotopical and combinatorial aspects of the theory of normal series in groups. ⋮ FAITHFULNESS OF CERTAIN MODULES AND RESIDUAL NILPOTENCE OF GROUPS

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