A Group-Theoretic Proof of a Theorem of MacLagan-Wedderburn
A Group-Theoretic Proof of a Theorem of MacLagan-Wedderburn
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DOI：
10.1017/s2040618500035474
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发表时间：
1952-07
期刊：
影响因子：
--
通讯作者：
H. Zassenhaus
中科院分区：
文献类型：
--
作者：
H. Zassenhaus
本文的目的是给出以下Maclagan-Wedderburn定理的证明。每个有限斜域是一个域。证明依赖于群论和伽罗瓦域的性质。作为介绍，§§1-4致力于伽罗瓦域理论的系统和自足的说明。
The purpose of this paper is to present a proof of the following theorem of Maclagan-Wedderburn.* Every finite skew-field† is a field. The proof depends on group theory and on the properties of Galois fields. As an introduction, §§1–4 are devoted to a systematic and self-contained account of the theory of Galois fields.