origins of Wedderburn’s theorem

Wedderburn and Dickson both published independent proofs of the fact in 1905. Wedderburn’s publication contains three proofs, the first of which was ultimately flawed. The second two proofs improve the essential trick of Dickson by using Zsigmondy’s theorem, a numerical condition on prime factorsPlanetmathPlanetmath of pn-1. Wedderburn and Dickson were colleagues at the University of Chicago at the time.

The first, mistaken proof, of Wedderburn was later corrected and simplified by Artin and is now the standard proof in most texts.


  • 1 Parshall, Karen Hunger In pursuit of the finite division algebraMathworldPlanetmath theorem and beyond: Joseph H. M. Wedderburn, Leonard E. Dickson, and Oswald Veblen, Arch. Internat. Hist. Sci., 33, (1984), 111, pp. 274 – 299.
Title origins of Wedderburn’s theorem
Canonical name OriginsOfWedderburnsTheorem
Date of creation 2013-03-22 16:08:18
Last modified on 2013-03-22 16:08:18
Owner Algeboy (12884)
Last modified by Algeboy (12884)
Numerical id 9
Author Algeboy (12884)
Entry type Derivation
Classification msc 01A60
Classification msc 12E15