Algebraic groups over finite fields, a quick proof of Lang’s theorem

Müller, Peter

doi:10.1090/S0002-9939-02-06591-7

Algebraic groups over finite fields, a quick proof of Lang’s theorem
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by Peter Müller

Proc. Amer. Math. Soc. 131 (2003), 369-370

DOI: https://doi.org/10.1090/S0002-9939-02-06591-7

Published electronically: May 17, 2002

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Abstract:

We give an easy proof of Lang’s theorem about the surjectivity of the Lang map $g\mapsto g^{-1}F(g)$ on a linear algebraic group defined over a finite field, where $F$ is a Frobenius endomorphism.

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