Residually nilpotent one-relator groups with nontrivial centre
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- by James McCarron PDF
- Proc. Amer. Math. Soc. 124 (1996), 1-5 Request permission
Abstract:
We determine explicitly the residually nilpotent one-relator groups with nontrivial centre. We show also that, if $G$ is a one-relator group, then $G$ is residually nilpotent if, and only if, its central quotient $G/Z(G)$ is residually nilpotent.References
- James McCarron, Residual nilpotence and one relator groups, Ph.D. Thesis, University of Waterloo, 1995, in preparation.
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- Alfred Pietrowski, The isomorphism problem for one-relator groups with non-trivial centre, Math. Z. 136 (1974), 95–106. MR 349851, DOI 10.1007/BF01214345
- Goansu Kim and James McCarron, On residually $p$-finite one-relator groups, J. Algebra 169 (1994), 817–826. CMP 95:03
Additional Information
- James McCarron
- Affiliation: Department of Pure Mathematics University of Waterloo 200 University Avenue West Waterloo, Ontario Canada N2L 3G1
- Email: jmccarron@jeeves.uwaterloo.ca
- Received by editor(s): May 5, 1994
- Additional Notes: The contents of this note form a part of the author’s Ph.D. thesis. It is a pleasure to thank my supervisor, F. C. Y. Tang, for his help and guidance
- Communicated by: Ronald Solomon
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1-5
- MSC (1991): Primary 20E26, 20F05, 20F19
- DOI: https://doi.org/10.1090/S0002-9939-96-03148-6
- MathSciNet review: 1301037