A GENERATING FUNCTION APPROACH TO THE ENUMERATION OF MATRICES IN CLASSICAL GROUPS OVER FINITE FIELDS by Jason Fulman, Peter M. Neumann, Cheryl E. Praeger ( 9780821837061 )

Item Details

Title:

A GENERATING FUNCTION APPROACH TO THE ENUMERATION OF MATRICES IN CLASSICAL GROUPS OVER FINITE FIELDS

By:

Jason Fulman, Peter M. Neumann, Cheryl E. Praeger

Format:

Paperback

List price:	£64.95
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ISBN 10:

0821837060

ISBN 13:

9780821837061

Publisher:

AMERICAN MATHEMATICAL SOCIETY

Pub. date:

15 June, 2005

Series:

Memoirs of the American Mathematical Society No. 176

Pages:

Description:

Uses generating function techniques to study the probability that an element of a classical group defined over a finite field is separable, cyclic, semisimple or regular. This title calculates in all cases the limits of these probabilities as the dimension tends to infinity, and exponential convergence to the limit is proved.

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.

Publication:

Imprint:

American Mathematical Society

Returns:

Returnable

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