On the residual finiteness of HNN-extensions and generalized free products of finite rank groups.

DOI10.1134/S0037446613060013zbMath1293.20029MaRDI QIDQ2436091

D. N. Azarov

Publication date: 21 February 2014

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

zbMATH Keywords

generalized free productssubgroups of finite indexHNN-extensionsresidual finitenesssoluble minimax groupsgroups almost approximable by finite \(p\)-groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26)

Related Items

On residually finite groups of finite general rank ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the virtual potency of some groups and free constructions ⋮ Approximability of generalized free products of groups with amalgamated normal subgroup by some classes of finite groups. ⋮ On the virtual potency of automorphism groups and split extensions ⋮ On the weak \(\pi \)-potency of some groups and free products ⋮ The root class residuality of the tree product of groups with amalgamated retracts ⋮ On the root-class residuality of certain HNN-extensions of groups ⋮ Residual separability of subgroups in free products with amalgamated subgroup of finite index

Cites Work

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• Residual finiteness and Hopficity of certain HNN extensions
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• Ascending HNN extensions of polycyclic groups are residually finite.
• On residually finite HNN-extensions
• A Converse to a Residual Finiteness Theorem of G. Baumslag
• Residual Properties of Infinite Soluble Groups
• Some two-generator one-relator non-Hopfian groups
• Residually finite hnn extensions
• Nonresidually Finite One-Relator Groups
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups
• On Infinite Soluble Groups (IV)

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