Abstract Algebra: Theory and Applications · Problem 22.4.14

Galois Theory — Thomas Judson

Mathematics — Abstract Algebra · finite-fields-characteristic

Problem

Let DD be an integral domain of characteristic pp. Prove that (a−b)pn=apn−bpn(a - b)^{p^n} = a^{p^n} - b^{p^n} for all a,b∈Da, b \in D.

Related theory

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