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arXiv · 1708.09302

Lattice Models of Finite Fields

Lucian M. Ionescu·Mina M. Zarrin
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Abstract

Finite fields form an important chapter in abstract algebra, and mathematics in general. We aim to provide a geometric and intuitive model for finite fields, involving algebraic numbers, in order to make them accessible and interesting to a much larger audience. Such lattice models of finite fields provide a good basis for later developing the theory in a more concrete way, including Frobenius elements, all the way to Artin reciprocity law. Examples are provided, intended for an undergraduate audience in the first place.

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Lucian M. Ionescu, Mina M. Zarrin. 2017-08-29. Lattice Models of Finite Fields. https://arxiv.org/abs/1708.09302

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