Geodesic
The residual finiteness of a class of 1-relator groups
Glasgow mathematical journal, Tome 29 (1987) no. 2, pp. 267-269

Voir la notice de l'article provenant de la source Cambridge University Press

In [3] Gilbert Baumslag asserted that, for non-zero integers α, β, γ, δ such that α + γ ≠ 0 ≠ β + δ, the group G = <a, b:aα, bβaγbδ> is residually finite (RF). This result has been quoted in the literature: for example, in [2]. At the “Groups '85” meeting at St. Andrews, the second author learned, indirectly, that Professor Baumslag could not recall all the details of the rather complicated (unpublished) proof he had constructed and that he referred those asking for a proof to the present authors. It thus seems worthwhile formally to record the following fairly short proof of the above claim. 
Allenby, R. B. J. T.; Tang, C. Y. The residual finiteness of a class of 1-relator groups. Glasgow mathematical journal, Tome 29 (1987) no. 2, pp. 267-269. doi: 10.1017/S0017089500006923
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[1] 1. Allenby, R. B. J. T., Moser, L. E. and Tang, C. Y., The residual finiteness of certain 1-relator groups, Proc. Amer. Math. Soc. 78 (1980), 8–10. Google Scholar | DOI

[2] 2. Allenby, R. B. J. T. and Tang, C. Y., Residual finiteness of certain 1-relator groups; extensions of results of Gilbert Baumslag, Math. Proc. Cambridge Philos. Soc. 97 (1985), 225–230. Google Scholar | DOI

[3] 3. Baumslag, Gilbert, Some problems on 1-relator groups, Proceedings of the Second International Conference on the Theory of Groups (Lecture Notes in Mathematics 372, Springer, 1974), 75–81. Google Scholar | DOI

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