most recent 30 from http://mathoverflow.net 2013-05-21T13:24:39Z http://mathoverflow.net/feeds/question/21464 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/21464/what-is-the-galois-group-of-a-polynomial-over-a-finite-field jsmith12 2010-04-15T14:46:20Z 2010-04-15T14:46:20Z

<p>If I have a polynomial which I've factorised into irreducibles over GF(p), p prime, and it doesn't have any repeated factors, then what is its Galois group over this finite field (and what is the cycle type of its generator)?</p> <p>for example, what is the galois group of $(X^3 + 4)(X^2+2)(X+1)$ over GF(7)?</p>