Separability of subgroups of nilpotent groups in the class of finite \(\pi\)-groups.

DOI10.1134/S0037446614060159zbMath1327.20034OpenAlexW2079520429MaRDI QIDQ2352694

E. V. Sokolov

Publication date: 3 July 2015

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

Full work available at URL: https://doi.org/10.1134/s0037446614060159

zbMATH Keywords

torsion subgroupnilpotent groupsresidually finite groupssubgroup separable groups

Mathematics Subject Classification ID

Nilpotent groups (20F18) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14)

Related Items

Separability of the subgroups of residually nilpotent groups in the class of finite \(\pi\)-groups, Certain residual properties of HNN-extensions with central associated subgroups, Sufficient conditions for the root-class residuality of certain generalized free products., Necessary conditions for the residual nilpotency of certain group theory constructions, On the root-class residuality of certain free products of groups with normal amalgamated subgroups, On the root-class residuality of generalized free products with a normal amalgamation., On the residual properties of generalized direct products of groups, Root class residuality of HNN-extensions with central cyclic associated subgroups, The root-class residuality of the fundamental groups of certain graphs of groups with central edge subgroups, Retractable and coretractable abelian groups

Cites Work

• Finite separability of groups and Lie algebras
• On generalized free products of residually finite \(p\)-groups
• Residual finiteness of the free product of two groups with commuting subgroups
• Residual Properties of Infinite Soluble Groups
• Some two-generator one-relator non-Hopfian groups
• On p-Separability of Subgroups of Free Metabelian Groups
• Subgroups of Finite Index in Free Groups
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