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arXiv · 1507.04582

On rational fixed points of finite group actions on the affine space

Olivier Haution
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Abstract

Consider a finite l-group acting on the affine space of dimension n over a field k, whose characteristic differs from l. We prove the existence of a fixed point, rational over k, in the following cases: --- The field k is p-special for some prime p different from its characteristic. --- The field k is perfect and fertile, and n = 3.

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Olivier Haution. 2015-07-16. On rational fixed points of finite group actions on the affine space. https://doi.org/10.1090/tran/7184

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