A necessary condition for the residual nilpotence of HNN-extensions

DOI10.1134/S1995080218020257zbMath1390.20033OpenAlexW2800455958MaRDI QIDQ1646303

E. V. Sokolov

Publication date: 25 June 2018

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

Full work available at URL: https://doi.org/10.1134/s1995080218020257

zbMATH Keywords

residual nilpotenceresidual \(p\)-finitenessmultiple HNN-extension

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) Extensions, wreath products, and other compositions of groups (20E22) Residual properties and generalizations; residually finite groups (20E26)

Related Items (1)

Necessary conditions for the residual nilpotency of certain group theory constructions

Cites Work

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• Residual Properties of Infinite Soluble Groups
• Some two-generator one-relator non-Hopfian groups
• On a Class of One-Relator Groups
• $3$-Manifold Groups are Virtually Residually $p$
• On the residual nilpotence of certain one‐relator groups
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups

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