Suppose $K$ is a quadratic extension of $\mathbb{Q}$. Does there exist a Galois extension $L/K$ such that $Gal(L/K)\cong\mathbb{Z}/4\mathbb{Z}$ ?
2026-05-05 08:37:35.1777970255
Can every quadratic extension of $\mathbb{Q}$ be extended to a cyclic extension of degree 4?
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