On groups with commutators of bounded order
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- by Pavel Shumyatsky PDF
- Proc. Amer. Math. Soc. 127 (1999), 2583-2586 Request permission
Abstract:
Let $p$ be a prime, $k$ a non-negative integer. We prove that if $G$ is a residually finite group such that $[x,y]^{p^k}=1$ for all $x,y\in G$, then $G’$ is locally finite.References
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Additional Information
- Pavel Shumyatsky
- Affiliation: Department of Mathematics University of Brasilia 70910-900 Brasilia - DF, Brazil
- MR Author ID: 250501
- Email: pavel@ipe.mat.unb.br
- Received by editor(s): November 15, 1997
- Published electronically: April 9, 1999
- Additional Notes: This work was supported by FAPDF and CNPq-Brazil
- Communicated by: Ronald M. Solomon
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2583-2586
- MSC (1991): Primary 20E26, 20F40; Secondary 20F50
- DOI: https://doi.org/10.1090/S0002-9939-99-04982-5
- MathSciNet review: 1616621