Metacommutation as a Group Action on the Projective Line over ${\mathbf{F}}_{\mathbf{p}}$

Adam Forsyth, Jacob Gurev, Shakthi Shrima

Cohn and Kumar showed the quadratic character of $q$ modulo $p$ gives the sign of the permutation of Hurwitz primes of norm $p$ induced by the Hurwitz primes of norm $q$ under meta…