Formule des genres pour le noyau sauvage étale

Asensouyis, Hassan

Annales mathématiques Blaise Pascal, Tome 23 (2016) no. 1, pp. 1-20.

Let $M/F$ be a Galois extension of number fields with Galois group $G$ and $p$ an odd prime. We give an explicit description of the kernel and cokernel of the natural map on étale wild kernels ${\left({WK}_{2i-2}^{ét}M\right)}_G\to {WK}_{2i-2}^{ét}F$.

Classification : 11R70, 11R34, 19F27
Mots clés : $K$-theory, Galois cohomology, étale wild kernel

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