On P‐Extensions of Multidimensional Local Fields

Galois groups of p-extensions of higher local fields

“…There is a standard way to use class field theory to study the structure of Γ modulo the third term of the p-central series of Γ(p), cf. [26] and various results about 1-dimensional local and global fields in [19] (an attempt to apply this method for higher local fields was also done in [9]). We can describe this strategy in terms of the central series of Γ as follows.…”