Abstract Algebra: Theory and Applications · Problem 22.8.1

Galois Theory — Thomas Judson

Mathematics — Abstract Algebra · finite-fields-sage

Problem

Create a finite field of order 525^2 and then factor p(x)=x25−xp(x) = x^{25} - x over this field. Comment on what is interesting about this result and why it is not a surprise.

Related theory

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