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Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Symmetric presentations of Abelian groups

Author(s): Miklós Abért
Journal: Proc. Amer. Math. Soc. 131 (2003), 17-20.
MSC (2000): Primary 20F05, 20K01
Posted: June 12, 2002
MathSciNet review: 1929017
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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.

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J.N. Bray, R.T. Curtis, A systematic approach to symmetric presentations II. Generators of order $3$, Math. Proc. Cambridge Philos. Soc. 128 (2000), 1-20. MR 2000k:20032

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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

DOI: 10.1090/S0002-9939-02-06490-0
PII: S 0002-9939(02)06490-0
Keywords: Presentations, Abelian groups
Received by editor(s): March 26, 2001
Received by editor(s) in revised form: August 2, 2001
Posted: June 12, 2002
Additional Notes: This research was supported by the Hungarian National Grant T29132.
Communicated by: Stephen D. Smith
Copyright of article: Copyright 2002, American Mathematical Society




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