Quotients of absolute Galois groups which determine the entire Galois cohomology

Sunil K. Chebolu, Ido Efrat, Ján Mináč

For prime power $q=p^d$ and a field $F$ containing a root of unity of order $q$ we show that the Galois cohomology ring $H^*(G_F,\dbZ/q)$ is determined by a quotient $G_F^{[3]}$ of…