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math.NT2018
The present state of the capitulation problem
Jean-François Jaulent
The text is a synthetic presentation of the state of the knowledge about the capitulation for the class-groups of numbers fields, shortly before the demonstration by Suzuki of the…
math.NT2018
G{é}n{é}ralisation d'un th{é}or{è}me de Greenberg
Jean-François Jaulent
We formulate a general conjecture on the characteristic polynomials of S-decomposed T-ramified Iwasawa modules over the cyclotomic Z {\ell}-extension of a number field. We show tha…
math.NT2018
Abelian capitulation of ray class groups
Jean-François Jaulent
Building on Bosca's method, we extend to tame ray class groups the results on capitulation of ideals of a number field by composition with abelian extensions of a subfield first st…