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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Notes on the Baumslag-Solitar non-residually finite examples


Author: Robert I. Campbell
Journal: Proc. Amer. Math. Soc. 109 (1990), 59-62
MSC: Primary 20E26
DOI: https://doi.org/10.1090/S0002-9939-1990-1012925-0
MathSciNet review: 1012925
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Abstract: We examine the abelianization of G. Baumslag and Solitar's example of a one-generator group that is not residually finite. In particular, the nonfinitely-generated commutator subgroup is shown to be not residually finite. We also review a specific example of a cyclic extension of a residually finite group that is not residually finite.


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DOI: https://doi.org/10.1090/S0002-9939-1990-1012925-0
Keywords: Residually finite, extensions
Article copyright: © Copyright 1990 American Mathematical Society