Is every finite field the residue field of local field? - MathOverflow [closed]most recent 30 from http://mathoverflow.net2013-05-23T10:13:03Zhttp://mathoverflow.net/feeds/question/92252http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/92252/is-every-finite-field-the-residue-field-of-local-fieldIs every finite field the residue field of local field?Rajkarov2012-03-26T11:18:03Z2012-03-26T11:58:55Z
<p>If we let <code>$\mathbb{F}_{q}$</code> be the finite field with $q$ elements, is there a local field $F$ with residue field <code>$\mathbb{F}_{q}$</code> ?</p>