On page 19 of Serre's arithmetic he mentions the group $Nk_B^*$ of norms of elements of $k_b^*$ where $k_b = k(\sqrt{b})$. Here $k = \mathbb{Q}_p$ for $p$ prime or $\infty$. What is the norm and how is this group defined? Unforunately, Serre does not define this term.
2026-05-15 10:10:43.1778839843
What is the norm of elements of $k_b^*$?
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