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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2008 Volume 356, Pages 118–148 (Mi znsl2111)

This article is cited in 1 paper

Orders of topological generators of the $K$-group of a standard two-dimensional local field

O. Yu. Ivanova

Saint-Petersburg State University

Abstract: We consider the topological $K$-group of a complete, weakly unramified over the constant subfield, two-dimensional local field of mixed characteristic and with finite second residue field. We estimate the orders of natural generators of this group from above and from below, and prove some relations between these orders. Bibl. – 10 titles.

UDC: 512.5

Received: 23.06.2008


 English version:
Journal of Mathematical Sciences (New York), 2009, 156:6, 918–936

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