Counting Nilpotent Matrices over Finite FieldsSpeaker:Professor Rod Gow (UCD)
Date: Monday 17th September 2012
Location: Casl Seminar Room (Belfield Office Park)
Using the Fitting decomposition of an endomorphism, we show how it is easy to derive a formula for the number of nilpotent n x n matrices over a finite field. We also show how the formula can be modified to obtain the number of nilpotent n x n matrices of a specified rank over a finite field.
Series: Algebra Seminar Series