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A free product of finitely generated nilpotent groups amalgamating a cycle that is not subgroup separable |
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| Authors: | R. B. J. T. Allenby David Doniz |
| Affiliation: | School of Mathematics, University of Leeds, Leeds LS2 9JT, England ; School of Mathematics, University of Leeds, Leeds LS2 9JT, England |
| Abstract: | We exhibit a counterexample to a recent assertion concerning the subgroup separability of groups in the title. The example also serves as a simplification of work of Gitik and Rips. |
| Keywords: | Generalized free products nilpotent groups residual finiteness subgroup separability |
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