Wedderburn's theorem
Primary tabs
Wedderburn’s theorem
A finite division ring is a field.
One of the many consequences of this theorem is that for a finite projective plane, Desargues’ theorem implies Pappus’ theorem.
Type of Math Object:
Theorem
Major Section:
Reference
Groups audience:
Mathematics Subject Classification
12E15 Skew fields, division rings
Comments
Wedderburn Theorem
It would be instructive to have a look on a new proof of Wedderburn Theorem (Any finite division ring is commutative), proof which I published in Amer. Math. Monthly (October 2003, by Nicolas Lichiardopol). W. Narkiewicz said me that is the most beautefull proof.
Re: Wedderburn Theorem
I don' think many people have electronic access to 2003 monthly.
By the way, there's a book
"Proofs of the book"
(ref to Erdos idea)
where it's proved that theorem only using elementary concepts
(some basics about group actions, roots of unity, etc)
f
G -----> H G
p \ /_ ----- ~ f(G)
\ / f ker f
G/ker f