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math.NT2021★ 25 cited
Invariant generalized ideal classes -- structure theorems for p-class groups in p-extensions
Georges Gras
We give, in Sections 2 and 3, an english translation of: {\it Classes généralisées invariantes}, J. Math. Soc. Japan, 46, 3 (1994), with some improvements and with notations and de…
math.NT2021
On the -stability of p-class groups along cyclic p-towers of a number field
Georges Gras
Let k be a number field, p2 a prime and S a set of tame or wild finite places of k. We call K/k a totally S-ramified cyclic p-tower if Gal(K/k)=Z/p^NZ and if S non-empty is to…