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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
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.

References [Enhancements On Off] (What's this?)

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Keywords: Residually finite, extensions
Article copyright: © Copyright 1990 American Mathematical Society

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