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{{harvtxt|Steinberg|1987}} gave a shorter proof of Dickson's theorem.
The matrices [''e''<sub>1</sub>, ... ,''e''<sub>''n''</sub>] are divisible by all non-zero linear forms in the variables ''X''<sub>''i''</sub> with coefficients in the finite field '''F'''<sub>''q''</sub>. In particular [0,1,...,''n''−1] is a product of such linear forms, taken over 1+''q''+''q''<sup>2</sup>+...+''q''<sup>''n''–1</sup> representatives of ''n–1'' dimensional projective space over the field. This factorization is similar to the factorization of the [[Vandermonde determinant]] into linear factors.
==See also==
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