On the weak \(\pi \)-potency of some groups and free products

DOI10.1134/S0037446620060014zbMath1498.20073OpenAlexW3122327417MaRDI QIDQ2222186

D. N. Azarov

Publication date: 26 January 2021

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

Full work available at URL: https://doi.org/10.1134/s0037446620060014

zbMATH Keywords

residually finite groupsoluble minimax groupgeneralized free productpotent group

Mathematics Subject Classification ID

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 (2)

On the virtual potency of some groups and free constructions ⋮ On the virtual potency of automorphism groups and split extensions

Cites Work

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• On the residual finiteness of free products of solvable minimax groups with cyclic amalgamated subgroups.
• Approximability of generalized free products of groups with amalgamated normal subgroup by some classes of finite groups.
• Weak potency of fundamental groups of graphs of groups.
• The potency of cyclically pinched one-relator groups
• On the residual finiteness of HNN-extensions and generalized free products of finite rank groups.
• Residually finite groups of finite rank
• Cyclically separated groups
• Conjugacy Separability of Generalized Free Products of Certain Conjugacy Separable Groups
• Conjugacy Separability of Certain Free Products with Amalgamation
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups
• On Infinite Soluble Groups (IV)

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