Power series coefficients for probabilities in finite classical groups

[摘要] It 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 q(-1). 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. (c) 2006 Elsevier Inc. All rights reserved.

[发布日期] 2006-11-15

[关键词] finite classical group;generating function