I'm asked to find the Galois group of this polynomial over Q:

x^5-2x^3-x^2+2.

This is irreducible over Q, but over Fp where p is prime, the polynomial factorises. Does this information help, or is there a different way to find the Galois group?

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- January 20th 2010, 01:49 AMKSM08Galois group
I'm asked to find the Galois group of this polynomial over Q:

x^5-2x^3-x^2+2.

This is irreducible over Q, but over Fp where p is prime, the polynomial factorises. Does this information help, or is there a different way to find the Galois group? - January 20th 2010, 02:07 AMtonio