On the virtual potency of automorphism groups and split extensions

DOI10.1134/s0037446623060010zbMath1529.20042OpenAlexW4389379435MaRDI QIDQ6179760

D. N. Azarov

Publication date: 18 December 2023

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

Full work available at URL: https://doi.org/10.1134/s0037446623060010

zbMATH Keywords

automorphism groupHNN-extensionsplit extensionresidually finite groupgeneralized free productpotent group

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Automorphism groups of groups (20F28) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26)

Cites Work

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• On the residual nilpotence of free products of free groups with cyclic amalgamation
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• On the residual finiteness of HNN-extensions and generalized free products of finite rank groups.
• Integral representation of holomorphs of polycyclic groups
• On the virtual potency of some groups and free constructions
• Residual Properties of Infinite Soluble Groups
• Cyclically separated groups
• Residually finite hnn extensions
• Automorphism Groups of Residually Finite Groups
• Conjugacy Separability of Certain Free Products with Amalgamation
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups

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