A converse to a residual finiteness theorem of G. Baumslag
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- by M. Shirvani PDF
- Proc. Amer. Math. Soc. 104 (1988), 703-706 Request permission
Abstract:
It is shown that if at least two of the factor groups of a nontrivial amalgamated free product $G$ satisfy nontrivial identities, then a special form of the profinite closure of the associated subgroups is necessary (as well as sufficient) for the residual finiteness of $G$. An example shows that the necessity no longer holds if only one of the factor groups satisfies an identity.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 703-706
- MSC: Primary 20E06; Secondary 20E26
- DOI: https://doi.org/10.1090/S0002-9939-1988-0935110-8
- MathSciNet review: 935110