This article is cited in 4 papers

Local class field theory: perfect residue field case

I. B. Fesenko

St. Petersburg State University, Department of Mathematics and Mechanics

Abstract: Using the group of principal units, the author gives a description of abelian totally ramified extensions of a complete discrete valued field with perfect residue field of characteristic $p$.

UDC: 512.7

MSC: Primary 11S31; Secondary 12E10

Received: 27.10.1992

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1994, 43:1, 65–81

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