A product decomposition of infinite symmetric groups
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- by Ákos Seress PDF
- Proc. Amer. Math. Soc. 131 (2003), 1681-1685 Request permission
Abstract:
We prove that for any infinite $\kappa$, the full symmetric group $\operatorname {Sym}(\kappa )$ is the product of at most $14$ abelian subgroups. This is a strengthening of a recent result of M. Abért.References
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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
- 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
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1681-1685
- MSC (2000): Primary 20B30
- DOI: https://doi.org/10.1090/S0002-9939-02-06720-5
- MathSciNet review: 1953572