S. V. Vostokov, I. I. Nekrasov, “Cohomology of Formal Modules over Local Fields”, Mat. Zametki, 2019, Volume 105, Issue 1,Pages <nobr>3

Cohomology of Formal Modules over Local Fields

S. V. Vostokov^a, I. I. Nekrasov^b

^a Saint Petersburg State University
^b Chebyshev Laboratory, St. Petersburg State University

Abstract: The structure of the first Galois cohomology groups for the group of points of a formal module in extensions of local fields is studied. A complete description for unramified extensions and classical formal group laws is obtained.

Keywords: formal module over a local field, formal group law.

UDC: 511.221+511.223

Received: 27.09.2017
Revised: 12.02.2018

DOI: 10.4213/mzm11812