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arXiv · 1809.02155

Normal elements in finite fields

Trevor Hyde
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Abstract

We give a simple derivation of the formula for the number of normal elements in an extension of finite fields. Our proof is based on the fact that units in the Galois group ring of a field extension act simply transitively on normal elements.

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Trevor Hyde. 2018-09-06. Normal elements in finite fields. https://arxiv.org/abs/1809.02155

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