Proceedings of the American Mathematical Society

Author(s): Peter Müller
Journal: Proc. Amer. Math. Soc. 131 (2003), 369-370.
MSC (2000): Primary 20G40
Posted: 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

is a Frobenius endomorphism.

1.: Armand Borel, Linear algebraic groups, second ed., Springer-Verlag, New York, 1991. MR 92d:20001
2.: François Digne and Jean Michel, Representations of finite groups of Lie type, Cambridge University Press, Cambridge, 1991. MR 92g:20063
3.: James E. Humphreys, Linear algebraic groups, Springer-Verlag, New York, 1975, Graduate Texts in Mathematics, No. 21. MR 53:633
4.: Serge Lang, Algebraic groups over finite fields, Amer. J. Math. 78 (1956), 555-563. MR 19:174a
5.: T. A. Springer, Linear algebraic groups, Birkhäuser Boston, Mass., 1981. MR 84i:20002
6.: Robert Steinberg, On theorems of Lie-Kolchin, Borel, and Lang, Contributions to algebra (collection of papers dedicated to Ellis Kolchin), Academic Press, New York, 1977, pp. 349-354. MR 57:6216

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