The kernel generating condition and absolute Galois groups
Ido Efrat
Abstract:For a list L of finite groups and for a profinite group G, we consider the intersection T (G) of all open normal subgroups N of G with G/N in L. We give a cohomological characterization of the epimorphisms π : S → G of profinite groups (satisfying some additional requirements) such that π[T (S)] = T (G). For p prime, this is used to describe cohomologically the profinite groups G whose nth term G (n,p) (resp., G (n,p) ) in the p-Zassenhaus filtration (resp., lower p-central filtration) is an intersection of th… Show more
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