English

Normal elements in finite fields

Number Theory 2018-09-10 v1

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.

Keywords

Cite

@article{arxiv.1809.02155,
  title  = {Normal elements in finite fields},
  author = {Trevor Hyde},
  journal= {arXiv preprint arXiv:1809.02155},
  year   = {2018}
}

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3 pages