On the Chebotarëv theorem over finite fields

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Let p be a prime number and let Vp be the Vandermonde matrix with (i,j)-entry equal to ωij for 0≤i,j≤p−1, where ω is a primitive pth root of unity in the complex field. The classical Chebotarëv theorem says that all square submatrices of Vp have nonzero determinant. In this paper, we establish the Chebotarëv theorem over finite fields by imposing certain conditions.