Proceedings of the American Mathematical Society

A free product of finitely generated nilpotent groups amalgamating a cycle that is not subgroup separable

Author(s): R. B. J. T. Allenby; David Doniz
Journal: Proc. Amer. Math. Soc. 124 (1996), 1003-1005.
MSC (1991): Primary 20E06, 20E26, 20F18; Secondary 20F10
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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.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 20E06, 20E26, 20F18, 20F10

R. B. J. T. Allenby
Affiliation: School of Mathematics, University of Leeds, Leeds LS2 9JT, England
Email: pmt6ra@leeds.ac.uk

David Doniz
Affiliation: School of Mathematics, University of Leeds, Leeds LS2 9JT, England

DOI: 10.1090/S0002-9939-96-03567-8
PII: S 0002-9939(96)03567-8
Keywords: Generalized free products, nilpotent groups, residual finiteness, subgroup separability
Received by editor(s): May 25, 1994
Communicated by: Ronald M. Solomon
Copyright of article: Copyright 1996, American Mathematical Society

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