A New Proof of Wedderburn's Little Theorem: A Finite Division Ring is Commutative

Details A New Proof of Wedderburn's Little Theorem: A Finite Division Ring is Commutative A New Proof of Wedderburn's Little Theorem: A Finite Division Ring is Commutative

2011-06-20

arxiv.org/abs/1106.3825v2

Mathematics

History and Overview

The paper has been withdrawn by the author mainly due to incorrect matrix equations. The good ideas of the paper will be colle

Scientific paper

We will prove the well known fact that a finite division ring is commutative
(Wedderburn, 1905). We start with a minimal counterexample L, viz. a finite
division ring which is not commutative but all its maximal division subrings
are commutative. We shall prove that one of these maximal subfields is a normal
subfield so that we can apply the Cartan-Brauer-Hua theorem.

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