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The residual finiteness of ascending HNN-extensions of certain soluble groups

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Publication:1409627
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zbMath1031.20017MaRDI QIDQ1409627

Akbar Hussein Rhemtulla, Mazi Shirvani

Publication date: 16 October 2003

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

residually finite groupsfinitely generated soluble 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 (6)

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 ⋮ Groups with the same cohomology as their profinite completions. ⋮ Conjugacy separability of descending HNN-extensions of finitely generated Abelian groups. ⋮ On the residual finiteness of descending HNN-extensions of groups.




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