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

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The topological K-group of a complete two-dimensional local field of mixed characteristic, weakly unramified over the constant subfield and with finite second residue field, is considered. The orders of natural generators of this group are estimated from above and from below, and some relations between these orders are proved. Bibliography: 10 titles.

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Authors and Affiliations

  1. St.Petersburg State University, St.Petersburg, Russia

    O. Yu. Ivanova

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  1. O. Yu. Ivanova
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Correspondence to O. Yu. Ivanova.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 356, 2008, pp. 118–148.

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Ivanova, O.Y. Orders of topological generators of the K-group of a standard two-dimensional local field. J Math Sci 156, 918–936 (2009). https://doi.org/10.1007/s10958-009-9298-1

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  • DOI: https://doi.org/10.1007/s10958-009-9298-1

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