A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields

J. Fulman, P.M. Neumann, Cheryl Praeger

    Research output: Book/ReportBook

    30 Citations (Scopus)

    Abstract

    Generating function techniques are used to study the probability that an element of a classical group defined over a finite field is separable, cyclic, semisimple or regular. The limits of these probabilities as the dimension tends to infinity are calculated in all cases, and exponential convergence to the limit is proved. These results complement and extend earlier results of the authors, G. E. Wall, and Guralnick & Lubeck.
    Original languageEnglish
    Place of PublicationProvidence, USA
    PublisherAmerican Mathematical Society
    Volume176
    ISBN (Print)0821837060
    Publication statusPublished - 2005

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