A non-residually solvable hyperlinear one-relator group
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- by Jon P. Bannon PDF
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Abstract:
In this short paper, we prove that the group $\langle a,b|a=[a,a^{b}]\rangle$ is hyperlinear. Unlike the nonresidually finite Baumslag-Solitar groups, this group is not residually solvable.References
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Additional Information
- Jon P. Bannon
- Affiliation: Department of Mathematics, Siena College, Loudonville, New York 12211
- Email: jbannon@siena.edu
- Received by editor(s): February 17, 2010
- Received by editor(s) in revised form: April 26, 2010
- Published electronically: August 30, 2010
- Communicated by: Marius Junge
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 1409-1410
- MSC (2010): Primary 46L10; Secondary 20F65
- DOI: https://doi.org/10.1090/S0002-9939-2010-10668-8
- MathSciNet review: 2748433