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A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields
 
Jason Fulman University of Pittsburgh, Pittsburgh, PA
Peter M. Neumann Queen’s College, Oxford, England
Cheryl E. Praeger University of Western Australia, Crawley, Australia
A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields
eBook ISBN:  978-1-4704-0431-4
Product Code:  MEMO/176/830.E
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $39.60
A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields
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A Generating Function Approach to the Enumeration of Matrices in Classical Groups over Finite Fields
Jason Fulman University of Pittsburgh, Pittsburgh, PA
Peter M. Neumann Queen’s College, Oxford, England
Cheryl E. Praeger University of Western Australia, Crawley, Australia
eBook ISBN:  978-1-4704-0431-4
Product Code:  MEMO/176/830.E
List Price: $66.00
MAA Member Price: $59.40
AMS Member Price: $39.60
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1762005; 90 pp
    MSC: Primary 05; Secondary 20;

    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 & Lübeck.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction, tables, and preliminaries
    • 2. Separable and cyclic matrices in classical groups
    • 3. Semisimple and regular matrices in classical groups
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1762005; 90 pp
MSC: Primary 05; Secondary 20;

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 & Lübeck.

  • Chapters
  • 1. Introduction, tables, and preliminaries
  • 2. Separable and cyclic matrices in classical groups
  • 3. Semisimple and regular matrices in classical groups
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.