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The Shafarevich Basis in Higher-Dimensional Local Fields

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This paper presents a generalization of the Shafarevich basis for n-dimensional local fields with perfect last residue field. The group of principal units of such fields is considered, and its multiplicative basis is constructed.

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Authors and Affiliations

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

    E. V. Ikonnikova & E. V. Shaverdova

Authors
  1. E. V. Ikonnikova
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  2. E. V. Shaverdova
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Correspondence to E. V. Ikonnikova.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 413, 2013, pp. 115–133.

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Ikonnikova, E.V., Shaverdova, E.V. The Shafarevich Basis in Higher-Dimensional Local Fields. J Math Sci 202, 410–421 (2014). https://doi.org/10.1007/s10958-014-2051-4

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  • DOI: https://doi.org/10.1007/s10958-014-2051-4

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