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单词 OriginsOfWedderburnsTheorem
释义

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.

References

  • 1 Parshall, Karen HungerIn pursuit of the finite division algebraMathworldPlanetmath theorem and beyond:Joseph H. M. Wedderburn, Leonard E. Dickson, andOswald Veblen,Arch. Internat. Hist. Sci., 33, (1984), 111, pp. 274 – 299.
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更新时间:2025/5/5 6:09:18