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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The residual finiteness of certain one-relator groups


Authors: R. B. J. T. Allenby, L. E. Moser and C. Y. Tang
Journal: Proc. Amer. Math. Soc. 78 (1980), 8-10
MSC: Primary 20E26; Secondary 20F05
MathSciNet review: 548072
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Abstract: We prove that the groups $ \langle a,b;{({a^{ - 1}}{b^l}a{b^m})^t}\rangle $, where $ l,m,t \in Z$ and $ t \geqslant 2$ are residually finite $ {(_R}F)$, thus establishing a conjecture of G. Baumslag [Bull. Amer. Math. Soc. 73 (1967), 618-620].


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0548072-5
PII: S 0002-9939(1980)0548072-5
Keywords: Generalized free product, HNN extension, residually finite, LERF
Article copyright: © Copyright 1980 American Mathematical Society