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

Jason Fulman, P. M. Neumann,

ISBN 10: 0821837060 / ISBN 13: 9780821837061

Published by American Mathematical Society, Providence, RI, 2005

About this Item

Only very slight wear to cover. Internally, clean and fresh, with unmarked and uncreased pages. Overall, very sound and presentable. Publisher's note: Introduction, tables, and preliminaries Separable and cyclic matrices in classical groups Semisimple and regular matrices in classical groups Bibliography. Size: 24.1 x 17.1 x 0.6 cm. vi, 90 pp. Shipped Weight: Under 250 grams. Category: Mathematics ; Generating functions; Combinatorial analysis; Linear algebraic groups; ISBN: 0821837060. ISBN/EAN: 9780821837061. Add. Inventory No: 240923QNSY0165014.

Seller Inventory # 240923QNSY0165014

Bibliographic Details

• Title: A Generating Function Approach to the Enumeration of Matrices in Classical Groups Over Finite Fields
• Publisher: American Mathematical Society, Providence, RI
• Publication Date: 2005
• Language: English
• ISBN 10: 0821837060
• ISBN 13: 9780821837061
• Binding: Softcover
• Condition: Very Good
• Seller catalogs:
  • Mathematics

About this title

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.