2004/07/07 by Henry Cohn
Mathematics · #math.CO
published as American Mathematical Monthly 111 (2004), 487-495 · 9 pages
arxiv created 2004/07/07 · arxiv updated 2009/12/01
There 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.