Power series coefficients for probabilities in finite classical groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104938It is shown that a wide range of probabilities and limiting probabilities in finite classical groups have integral coefficients when expanded as a power series in 1/q. Moreover it is proved that the coefficients of the limiting probabilities in the general linear and unitary cases are equal modulo 2. The rate of stabilization of the finite dimensional coefficients as the dimension increases is discussed.34 pagesGroup TheoryCombinatorics05E15, 20G40Power series coefficients for probabilities in finite classical groupstext