On nonabelian local reciprocity maps, by Ivan Fesenko
This paper has now appeared in Class Field Theory -- Its Centenary and
(ed. by K. Miyake),
The Advanced Studies in Pure Mathematics Series
Math. Soc. Japan, Kinokuniya Press, Tokyo,
Japan 2000, pp. 216-229
and so the preprint has been removed. In this note Galois groups of finite or infinite arithmetically
totally ramified extensions of a local field with finite residue field
explicitly described in terms
of certain subquotients of the group of invertible elements of the
formal power series over the algebraic closure of the finite field.
Abelian and metabelian class field theories follow as partial cases.
Ivan Fesenko <email@example.com>