On the residual finiteness of descending HNN-extensions of groups.

DOI10.1134/S0001434614070165zbMath1315.20027MaRDI QIDQ2342351

D. N. Azarov

Publication date: 11 May 2015

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

zbMATH Keywords

residual finitenessalmost residually \(\pi\)-finite groupsdescending HNN-extensions

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 (1)

On the root-class residuality of certain HNN-extensions of groups

Cites Work

• Residual finiteness of descending HNN-extensions of groups
• Constructable solvable groups
• The residual finiteness of ascending HNN-extensions of certain soluble groups
• Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms
• Ascending HNN extensions of polycyclic groups are residually finite.
• Subgroup growth.
• Residual Properties of Infinite Soluble Groups
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