Projective geometry over F_1 and the Gaussian binomial coefficients

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dc.creatorCohn, Henry
dc.date2004-07-07
dc.date.accessioned2026-07-07T05:10:00Z
dc.date.available2026-07-07T05:10:00Z
dc.descriptionThere is no field with only one element, yet there is a well-defined notion of what projective geometry over such a field means. This notion is familiar to experts and plays an interesting role behind the scenes in combinatorics and algebra, but it is rarely discussed as such. The purpose of this article is to bring it to the attention of a broader audience, as the solution to a puzzle about Gaussian binomial coefficients.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0407093
dc.identifierhttp://arxiv.org/abs/math/0407093
dc.identifierAmerican Mathematical Monthly 111 (2004), 487-495
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71796
dc.subjectCombinatorics
dc.titleProjective geometry over F_1 and the Gaussian binomial coefficients
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