Is every finite field the residue field of local field? - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-23T10:13:03Z http://mathoverflow.net/feeds/question/92252 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/92252/is-every-finite-field-the-residue-field-of-local-field Is every finite field the residue field of local field? Rajkarov 2012-03-26T11:18:03Z 2012-03-26T11:58:55Z <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>