Memoirs of the American Mathematical Society 2005; 90 pp; softcover Volume: 176 ISBN10: 0821837060 ISBN13: 9780821837061 List Price: US$66 Individual Members: US$39.60 Institutional Members: US$52.80 Order Code: MEMO/176/830
 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  Introduction, tables, and preliminaries
 Separable and cyclic matrices in classical groups
 Semisimple and regular matrices in classical groups
 Bibliography
