Can you suggest me references about the duality of the trace form of an extention of fields i.e. $K\subset L$ extention of field then $T: L \times L \rightarrow K$ where $T(x,y)=Tr_{L/K}(xy) $ is a duality. Thank you!
2026-03-30 04:39:57.1774845597
Duality of the trace form
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I would suggest Serge Lang - Algebra. Edition of 2002. And in particular the chapter on Galois Theory, page. 284 and onward.