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Topic:
trace map is surjective
Replies:
3
Last Post:
Jan 24, 2013 8:47 AM




Re: trace map is surjective
Posted:
Jan 24, 2013 8:20 AM


Rupert wrote:
> Does anyone know where I can find a proof that, given a separable > quadratic extension of a field of characteristic two, the trace map is > surjective?
I may have misunderstood the question, but isn't
tr(ac) = a tr(c)
if a is in the groundfield and c in the extension field? So if the trace was not surjective, it would have to be identically zero, which I think it is easy to see is not the case. (Eg if c has minimal equation f(x) = 0 the trace is the x coefficient.)
 Timothy Murphy email: gayleard /at/ eircom.net tel: +353862336090, +35312842366 smail: School of Mathematics, Trinity College Dublin



