finite field (idea)

(idea) by ariels

Thu Jul 27 2000 at 4:55:28

1 ¶, 4 s, 80 w, 560 c

It is an amazing fact that if F is a finite field, its multiplicative group F* is a cyclic group! See a proof that the multiplicative group of a finite field is cyclic.

Explanation: F* is the abelian group consisting of all non-zero elements of F, equipped with F's multiplication operation. The claim is that there exists an element f in F for which every non-zero element of F has the form f^k for some integer k.
http://everything2.com/title/finite+field http://everything2.com/node/672623