Symmetric presentations of Abelian groups
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- by Miklós Abért PDF
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Abstract:
We characterise the abelianisation of a group that has a presentation for which the set of relations is invariant under the full symmetric group acting on the set of generators. This improves a result of Emerson.References
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Additional Information
- Miklós Abért
- Affiliation: Alfréd Rényi Institute of Mathematics, Reáltanoda utca 13-15, H-1053, Budapest, Hungary
- Email: abert@renyi.hu
- Received by editor(s): March 26, 2001
- Received by editor(s) in revised form: August 2, 2001
- Published electronically: June 12, 2002
- Additional Notes: This research was supported by the Hungarian National Grant T29132.
- Communicated by: Stephen D. Smith
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 17-20
- MSC (2000): Primary 20F05, 20K01
- DOI: https://doi.org/10.1090/S0002-9939-02-06490-0
- MathSciNet review: 1929017