Counting Symmetric Nilpotent Matrices

  • Andries E. Brouwer
  • Rod Gow
  • John Sheekey
DOI: https://doi.org/10.37236/3810
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
How to Cite
Brouwer, A. E., Gow, R., & Sheekey, J. (2014). Counting Symmetric Nilpotent Matrices. The Electronic Journal of Combinatorics, 21(2), P2.4. https://doi.org/10.37236/3810
Issue
Volume 21, Issue 2 (2014)
Article Number
P2.4