Ascending HNN extensions of polycyclic groups are residually finite.

DOI10.1016/S0022-4049(02)00310-9zbMath1042.20018MaRDI QIDQ1812031

Tim Hsu, Daniel T. Wise

Publication date: 18 June 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

polycyclic groupsresidually finite groupsascending HNN extensions

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 the residual finiteness of generalized free products of finite rank groups., On the virtual potency of some groups and free constructions, On the residual finiteness of HNN-extensions and generalized free products of finite rank groups., Approximability of finite rank soluble groups by certain classes of finite groups, Finiteness results for subgroups of finite extensions., Group rings of proper ascending HNN extensions of countably infinite free groups are primitive., Groups with the same cohomology as their profinite completions., Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms, On the residual finiteness of descending HNN-extensions of groups.

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