No CrossRef data available.
Article contents
A theorem on power series with applications to classical groups over finite fields
Published online by Cambridge University Press: 17 April 2009
Abstract
For some of the classical groups over finite fields it is possible to express the proportion of eigenvalue-free matrices in terms of generating functions. We prove a theorem on the monotonicity of the coefficients of powers of power series and apply this to the generating functions of the general linear, symplectic and orthogonal groups. This proves a conjecture on the monotonicity of the proportions of eigenvalue-free elements in these groups.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 2001