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Power series coefficients for probabilities in finite classical groups

Lookup NU author(s): Dr John Britnell

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Abstract

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. © 2006 Elsevier Inc. All rights reserved.

Publication metadata

Author(s): Britnell JR, Fulman J

Publication type: Article

Publication status: Published

Journal: Journal of Algebra

Year: 2006

Volume: 305

Issue: 2

Pages: 1212-1237

ISSN (print): 0021-8693

ISSN (electronic): 1090-266X

Publisher: Academic Press

URL: http://dx.doi.org/10.1016/j.jalgebra.2006.07.012

DOI: 10.1016/j.jalgebra.2006.07.012

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