The potency of cyclically pinched one-relator groups

DOI10.1007/BF01223691zbMath0438.20018OpenAlexW2089405784MaRDI QIDQ1141750

R. B. J. T. Allenby

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01223691

zbMATH Keywords

residual finitenesspotencyfinite homomorphic imagecyclically pinched one-relator groupgeneralized free product of free groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26)

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Certain residual properties of HNN-extensions with central associated subgroups ⋮ Conjugacy separability of generalized free products of surface groups ⋮ The Weakly Potency of Certain HNN Extensions of Nilpotent Groups ⋮ On the virtual potency of some groups and free constructions ⋮ On the virtual potency of automorphism groups and split extensions ⋮ On the separability of abelian subgroups of the fundamental groups of graphs of groups. II ⋮ Non-orientable surface-plus-one-relation groups. ⋮ A free product of finitely generated nilpotent groups amalgamating a cycle that is not subgroup separable ⋮ Unnamed Item ⋮ On the weak \(\pi \)-potency of some groups and free products ⋮ Conjugacy separability of certain Seifert 3-manifold groups ⋮ The root-class residuality of the fundamental groups of certain graphs of groups with central edge subgroups

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