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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A product decomposition of infinite symmetric groups


Author: Ákos Seress
Journal: Proc. Amer. Math. Soc. 131 (2003), 1681-1685
MSC (2000): Primary 20B30
Published electronically: October 1, 2002
MathSciNet review: 1953572
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Abstract: We prove that for any infinite $\kappa$, the full symmetric group $\mathrm {Sym}(\kappa)$ is the product of at most $14$ abelian subgroups. This is a strengthening of a recent result of M. Abért.


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Additional Information

Ákos Seress
Affiliation: Department of Mathematics, The Ohio State University, Columbus, Ohio 43210
Email: akos@math.ohio-state.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06720-5
PII: S 0002-9939(02)06720-5
Received by editor(s): November 7, 2001
Received by editor(s) in revised form: January 15, 2002
Published electronically: October 1, 2002
Additional Notes: This research was partially supported by the NSF
Communicated by: Stephen D. Smith
Article copyright: © Copyright 2002 American Mathematical Society