On the $\lambda$-stability of p-class groups along cyclic p-towers of a
number field
On the $\lambda$-stability of p-class groups along cyclic p-towers of a
number field
Let k be a number field, p$\ge$2 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 totally ramified. Using analogues of Chevalley's formula (Gras, Proc. Math. Sci. 127(1) (2017)),we give …