most recent 30 from http://mathoverflow.net 2013-05-23T18:12:06Z http://mathoverflow.net/feeds/question/87246 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/87246/automorphism-group-of-algebraic-function-fields Klim Efremenko 2012-02-01T16:10:39Z 2012-02-02T00:16:35Z

<p>Let $K$ be a finite field and let $F/K$ be a function field. Is it possible to deduce the genus of $F/K$ from the automorphism group of $G=Aut(F/K)$? Is it possible to do so if we know that $|G|$ is greater than the genus? </p>