The Hasse norm principle for $A_4$-quartic extensions of global function fields

Anand Deopurkar, Rachel Newton, Vaidehee Thatte +1

For a finite extension of global fields $K/k$, the norm map $N_{K/k}:K^{\times }\to k^{\times }$ extends to a map on idèle groups. The Hasse norm principle holds if every element of $…