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A necessary condition for \(A*_{a=b}B\) to be LERF

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Publication:1178346
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DOI10.1007/BF02773431zbMath0742.20026OpenAlexW2089222399MaRDI QIDQ1178346

Rita Gitik

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf02773431


zbMATH Keywords

free productfinite-index subgroupLERF groupcyclic amalgamationlocally-extended residually finite


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) Local properties of groups (20E25)


Related Items (2)

Graphs and separability properties of groups ⋮ A free product of finitely generated nilpotent groups amalgamating a cycle that is not subgroup separable




Cites Work

  • Unnamed Item
  • An example of a non-LERF group which is a free product of LERF groups with an amalgamated cyclic subgroup
  • Doubles of groups and hyperbolic LERF \(3\)-manifolds




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