Abstract Algebra: Theory and Applications · Problem 22.4.24

Galois Theory — Thomas Judson

Mathematics — Abstract Algebra · finite-fields-wilson-theorem

Problem

Wilson's Theorem. Let pp be prime. Prove that (p−1)!≡−1(modp)(p-1)! \equiv -1 \pmod{p}. Hint. Factor xp−1−1x^{p-1} - 1 over Zp\mathbb{Z}_p.

Related theory

Browse the problem library