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Results tagged with algebraic-k-theory 
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                                 user 105625
    
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    Relation in Brauer group coming from trace form
                $\newcommand{\tr}{\operatorname{tr}}\newcommand{\Ell}{\operatorname{Ell}}$That was quicker to solve than I expected.
Consider the trace map
$$
\tr : GW(L) \to GW(K)
$$
between the Grothendieck-Witt ri … 
            
        
       
    
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    Relation in Brauer group coming from trace form
                Let $L/K$ be a cubic (or, more generally, odd-order) extension of fields of characteristic $0$. To every element $a \in L^\times$ we can associate the quadratic form
\begin{align*}
q_a : L &\to K \\
x …