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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

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