Geodesic
A Group-Theoretic Proof of a Theorem of MacLagan-Wedderburn
Glasgow mathematical journal, Tome 1 (1952) no. 2, pp. 53-63

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Zassenhaus, Hans J. A Group-Theoretic Proof of a Theorem of MacLagan-Wedderburn. Glasgow mathematical journal, Tome 1 (1952) no. 2, pp. 53-63. doi: 10.1017/S2040618500035474
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[*] * A Theorem on Finite Algebras. American M. S. Transactions, 6, pp. 349–352, (1905).Google Scholar

[†] † A skew-field or division ring is an algebraic system which satisfies all the postulates of a field except possibly that which demands that multiplication shall be commutative; i.e., it is a ring, not necessarily commutative, whose non-zero elements form a multiplicative group. The theorem states that if the number of elements is finite, the commutative property of multiplication is a consequence of the other postulates.

[‡] ‡ Liouville's Journal XI (1846), pp. 381–444.Google Scholar

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