Timeline for Norm map and units in local rings

8 events

when toggle format	what		by	license	comment
Jan 2, 2012 at 14:10	vote	accept	emiliocba
Dec 30, 2011 at 14:51	comment	added	emiliocba		Chandan, thank you for your comments. I changed the label as you suggested.
Dec 30, 2011 at 14:49	history	edited	emiliocba		I changed the primary tag.
Dec 30, 2011 at 10:35	comment	added	Chandan Singh Dalawat		For the image of the norm map $K^\times\to\mathbf{Q}_2^\times$ for a quadratic extension $K$ of $\mathbf{Q}_2$, see mathoverflow.net/questions/55390/….
Dec 30, 2011 at 6:53	comment	added	Chandan Singh Dalawat		The correct label for this kind of questions is nt.number-theory.
Dec 30, 2011 at 6:44	comment	added	Chandan Singh Dalawat		The fact that $-1$ is in the image of the norm map from $\mathbf{Q}_3(\sqrt{-1})^\times$ down to $\mathbf{Q}_3^\times$ is a particular case of the following : if $p$ is an odd prime and $u,v\in\mathbf{Z}_p^\times$, then $u$ is in the image of the norm map from $\mathbf{Q}_p(\sqrt{v})^\times$ down to $\mathbf{Q}_p^\times$. See for examples Serre's Course in arithmetic, Chapter III.
Dec 29, 2011 at 22:47	answer	added	paul garrett		timeline score: 5
Dec 29, 2011 at 22:33	history	asked	emiliocba	CC BY-SA 3.0