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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 8:35 AM


On 24/01/2013 12:53, 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?
For instance
www.math.uconn.edu/~kconrad/blurbs/galoistheory/separable2.pdf
Of course in this context it is easy. The minimum polynomial of any element in the extension but not in the ground field is x^2  a x + b and a is nonzero lest the extension be separable. Of course, a is a trace.



