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math.NT2023
On the existence of Minkowski units
David Burns, Donghyeok Lim, Christian Maire
We investigate the Galois structure of algebraic units in cyclic extensions of number fields and thereby obtain strong new results on the existence of independent Minkowski -uni…
math.NT2023
On the analyticity of the maximal extension of a number field with prescribed ramification and splitting
Donghyeok Lim, Christian Maire
We determine all the -adic analytic groups that are realizable as Galois groups of the maximal pro- extensions of number fields with prescribed ramification and splitting und…