most recent 30 from http://mathoverflow.net 2013-05-23T07:34:36Z http://mathoverflow.net/feeds/question/78620 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/78620/finding-the-isomorphism-class-of-a-galois-group Zephyr Pellerin 2011-10-19T22:17:01Z 2011-10-20T01:42:24Z

<p>Let $F = C(T), R = C[T]$ ie, $F$ is the fraction field of the ring, $R$. $C$ is the complex numbers. Let p be prime.</p> <p>Let $y$ be a non-trivial p-th root of unity. Choose $a$ and $b$ in the algebraic closure of $F$ such that $ap = T$ and $bp = (1-T)$. Let $E = F(a,b)$ e.x joining the binary set of roots to the field. </p> <p>How do you determine the isomorphism class of the Galois group of $E/F$?</p>