On the ranks of skew-centrosymmetric matrices over finite fields
- Culler, Kristen W.
- Price, Geoffrey L.
Publication date
November 1996
DOI Publisher
Published by Elsevier Inc. ISSN
0024-3795 Citation count (estimate)
3Abstract
AbstractFor any finite field F we determine the number of n by n matrices of skew-centrosymmetric form which are invertible over F. This result is obtained using a unimodality property of the ranks of matrices of this form. As a corollary to this result we count the n by n matrices of skew-centrosymmetric form of any specified rank
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