Lattice Models of Finite Fields

L. Ionescu, M. Zarrin
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引用次数: 1

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.
有限域的点阵模型
有限域在抽象代数和一般数学中是一个重要的章节。我们的目标是为有限域提供一个几何和直观的模型,包括代数数,以使它们对更多的观众来说是可访问的和有趣的。这种有限域的晶格模型为后来更具体地发展理论提供了很好的基础,包括Frobenius元,一直到Artin互易律。提供了一些例子,首先是为本科生提供的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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