Geodesic
Counting symmetric nilpotent matrices
Andries E. Brouwer ; Rod Gow1 ; John Sheekey2
1University College Dublin
2Universiteit Gent
The electronic journal of combinatorics, Tome 21 (2014) no. 2
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

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.
DOI : 10.37236/3810
Classification : 15B33, 15A63, 05A15, 05B20
Mots-clés : endomorphism, enumeration, nilpotent matrices, nondegenerate symmetric bilinear form

Andries E. Brouwer    ; Rod Gow  1   ; John Sheekey  2

1 University College Dublin
2 Universiteit Gent 
@article{10_37236_3810,
     author = {Andries E. Brouwer and Rod Gow and John Sheekey},
     title = {Counting symmetric nilpotent matrices},
     journal = {The electronic journal of combinatorics},
     year = {2014},
     volume = {21},
     number = {2},
     doi = {10.37236/3810},
     zbl = {1297.15020},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/3810/}
}
TY  - JOUR
AU  - Andries E. Brouwer
AU  - Rod Gow
AU  - John Sheekey
TI  - Counting symmetric nilpotent matrices
JO  - The electronic journal of combinatorics
PY  - 2014
VL  - 21
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.37236/3810/
DO  - 10.37236/3810
ID  - 10_37236_3810
ER  - 
%0 Journal Article
%A Andries E. Brouwer
%A Rod Gow
%A John Sheekey
%T Counting symmetric nilpotent matrices
%J The electronic journal of combinatorics
%D 2014
%V 21
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/3810/
%R 10.37236/3810
%F 10_37236_3810
Andries E. Brouwer; Rod Gow; John Sheekey. Counting symmetric nilpotent matrices. The electronic journal of combinatorics, Tome 21 (2014) no. 2. doi: 10.37236/3810

Cité par Sources :