14/10/12 12:51:58.42
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URLﾘﾝｸ(www-history.mcs.st-and.ac.uk)
URLﾘﾝｸ(www-history.mcs.st-and.ac.uk)
URLﾘﾝｸ(www-history.mcs.st-and.ac.uk)
The Development of Galois Theory Galois' commentators Fiona Brunk January 2005
Artin followed Weber in making a clear distinction between theory and application.
Solvable groups and the idea of solvability by radicals appear only in an appendix to his text, and only for historic reasons.
In the 1930s, mathematicians were certainly much more receptive to abstract algebra than Weber's audience had been,
but Artin's crucial innovation was the way in which he combined results by Dedekind, Kronecker, Weber and others in order to present a new conception of Galois Theory.
In short, Artin unified and completed all the earlier approaches in a formulation of Galois Theory which we still use today.