4 papers
Invitation to higher local fields, Part I, section 16: Higher class field theory without using K-groups
Ivan Fesenko
Author's generalization of one-dimensional class field theory to theory of abelian totally ramified p-extensions of a complete discrete valuation field with arbitrary non-separably…
Invitation to higher local fields, Part I, section 10: Explicit higher local class field theory
Ivan Fesenko
This is a presentation of explicit methods to construct higher local class field theory by using topological K-groups, explicit symbols and a generalization of Neukirch-Hazewinkel'…
Invitation to higher local fields, Part I, section 6: Topological Milnor K-groups of higher local fields
Ivan Fesenko
Certain topologies on Milnor K-groups of higher local fields K are studied. These are related to the topology on the multiplicative group and important for explicit higher local cl…
On just infinite pro-p-groups and arithmetically profinite extensions of local fields
Ivan Fesenko
The wild group is the group of wild automorphisms of a local field of characteristic p. In this paper we apply Fontaine-Wintenberger's theory of fields of norms to study the struct…