The Probability that Two Lines Meet Four in
F_q P^3

Adam Buck
University of Wisconsin-Milwaukee
PhD Graduate Student

“In projective 3-space over ℝ, there are exactly two lines which meet four “random” lines with probability 1. If we change ℝ to a finite field with q elements, this probability becomes a rational function in q. We will derive this probability, by working with Grassmannians.”