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

A Generating Function Approach to the Enumeration of Matrices in Classical Groups Over Finite Fields - Memoirs of the American Mathematical Society

Paperback (30 Jun 2005)

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Publisher's Synopsis

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.

Book information

ISBN: 9780821837061
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
Language: English
Number of pages: 90
Weight: 204g
Height: 241mm
Width: 171mm
Spine width: 6mm