The Binomial Theorem in Characteristic p
The binomial theorem describes how to expand the sum of two terms raised to a positive integer power. It implies that the pth power map is a ring homomorphism on rings of characteristic p. One consequence of this fact is new proofs of Fermat’s and Euler’s theorems.
KeywordsFinite Field Ring Homomorphism Multiple Root Binomial Theorem Nonzero Homomorphism
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