Abstract
We construct and study fields F with the property that F has infinitely many extensions of some fixed degree, but E ×/(E ×)n is finite for every finite extension E/F and every n ∈ N.
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Fehm, A., Jahnke, F. Fields with almost small absolute Galois group. Isr. J. Math. 214, 193–207 (2016). https://doi.org/10.1007/s11856-016-1356-z
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DOI: https://doi.org/10.1007/s11856-016-1356-z