Some asymptotics for triangular matrices over finite fields

摘要

This paper compares the asymptotic behavior of certain probabilities for n x n upper triangular matrices over F-q to the asymptotic behavior of the corresponding probabilities for arbitrary n x n matrices over F-q. Specifically, the asymptotic behavior of probabilities for a given rank, for a given corank, and for diagonalizability are considered. (C) 1998 Elsevier Science Inc. All rights reserved. [References: 4]