Counting Symmetric Nilpotent Matrices

  • Andries E. Brouwer
  • Rod Gow
  • John Sheekey
Keywords: Nilpotent, symmetric, matrix, endomorphism, enumeration

Abstract

We determine the number of nilpotent matrices of order $n$ over $\mathbb{F}_q$ that are self-adjoint for a given nondegenerate symmetric bilinear form, and in particular find the number of symmetric nilpotent matrices.
Published
2014-04-01
Article Number
P2.4