Cyclic, Separable and Semisimple Matrices in the Special Linear Groups Over a Finite Field | Zendy

Britnell John R. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Cyclic, Separable and Semisimple Matrices in the Special Linear Groups Over a Finite Field

Author(s) -

Britnell John R.

Publication year - 2002

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/s0024610702003678

Subject(s) - mathematics , separable space , finite field , field (mathematics) , matrix (chemical analysis) , set (abstract data type) , polynomial , pure mathematics , combinatorics , algebra over a field , discrete mathematics , computer science , mathematical analysis , chemistry , chromatography , programming language

A matrix A with minimum polynomial m A and characteristic polynomial c A is said to be cyclic if m A = c A , semisimple if m A has no repeated factors, and separable if it is both cyclic and semisimple. For any set T of matrices, we write C T for the proportion of cyclic matrices in T , SS T for the proportion of semisimple matrices, and S T for the proportion of separable matrices. We will write C GL(∞, q ) for lim d→∞ C GL( d , q ) , and so on.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research