A new and elementary proof of the Artin–Zorn theorem that finite alternative division rings are fields is given. The characterisation of finite fields of Glauberman and Heimbeck is also extended to a broader class of fields, the two subjects being connected via geometry.

中文翻译：

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格劳伯曼主题变奏曲

给出了 Artin-Zorn 定理的一个新的和基本的证明，即有限替代除法环是域。Glauberman 和 Heimbeck 的有限域的表征也扩展到更广泛的域类，这两个主题通过几何连接。