Classifier Instance:

Anchor text: E. H. Moore
Target Entity: E\u002e_H\u002e_Moore
Preceding Context: Now the first proof, using linear algebra, is a lot shorter and is the standard argument found in (nearly) all textbooks that treat finite fields. The second proof is interesting because it gets the same result by working much more heavily with the additive structure of a finite field. Of course we had to use the multiplicative structure somewhere (after all, not all finite rings have prime-power order), and it was used right at the start: multiplication by b/a on F sends a to b. The second proof is actually the one which was used in
Succeeding Context: 's 1903 paper which (for the first time) classified all finite fields.
Paragraph Title: null
Source Page: Finite field

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