Some asymptotics for triangular matrices over finite fields

✍ Scribed by Frank Gerth III

• Book ID: 104156420
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 585 KB
• Volume: 282
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(98)10067-8

✦ Synopsis

This paper compares the asymptotic behavior of certain probabilities for n x n upper triangular matrices over IFq to the asymptotic behavior of the corresponding probabilities for arbitrary n x n matrices over iF, r Specifically, the asymptotic behavior of probabilities for a given rank, for a given corank, and for diagonalizability are considered.