Abstract
We determine the number of nilpotent matrices of order n over Fq that are self-adjoint for a given nondegenerate symmetric bilinear form, and in particular find the number of symmetric nilpotent matrices.
Keywords: Nilpotent; symmetric; matrix; endomorphism; enumeration
| Original language | English |
|---|---|
| Article number | P2.4 |
| Pages (from-to) | P2.4-1/16 |
| Number of pages | 16 |
| Journal | The Electronic Journal of Combinatorics |
| Volume | 21 |
| Issue number | 2 |
| Publication status | Published - 2014 |