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Involve a Journal of Mathematics
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Other literature type . 2015
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Involve a Journal of Mathematics
Article . 2015 . Peer-reviewed
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https://dx.doi.org/10.2140/inv...
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On the cardinality of infinite symmetric groups

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 28 Sep 2015 English Publisher:Mathematical Sciences PublishersJournal:Involve, a Journal of Mathematics, volume 8, pages 749-751 (issn: 1944-4176, eissn: 1944-4184, Copyright policy )
Authors: Getzen, Matt;

doi: 10.2140/involve.2015.8.749

On the cardinality of infinite symmetric groups

Abstract

A new proof is given that the symmetric group of any set [math] with three or more elements, finite or infinite, has cardinality strictly greater than that of [math] . Use of the axiom of choice is avoided throughout.

Related Organizations
Keywords

03E99, axiom of choice, 03E25, set theory, infinite symmetric groups, 20B30

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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