Simple proof of Chebotarev's theorem on roots of unity

Details Simple proof of Chebotarev's theorem on roots of unity Simple proof of Chebotarev's theorem on roots of unity

2003-12-22

arxiv.org/abs/math/0312398v3

Mathematics

Commutative Algebra

3 pages. References added

Scientific paper

We give a simple proof of Chebotarev's theorem: Let $p$ be a prime and
$\omega $ a primitive $p$th root of unity. Then all minors of the matrix
$(\omega^{ij})_{i,j=0}^{p-1}$ are non-zero.

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