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Non-Abelian associated orders of wildly ramified extensions

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In the article, a mixed characteristic wildly ramified local field extension is considered. The structure of the associated order of such an extension and the question of whether an extension with a given associated order exists are studied. The non-Abelian case is described. A classification theorem is proved. A series of non-Abelian extensions of a given type is constructed. Bibliography: 12 titles.

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Authors and Affiliations

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

    M. V. Bondarko & A. V. Dievsky

Authors
  1. M. V. Bondarko
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  2. A. V. Dievsky
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Correspondence to M. V. Bondarko.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 356, 2008, pp. 5–45.

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Bondarko, M.V., Dievsky, A.V. Non-Abelian associated orders of wildly ramified extensions. J Math Sci 156, 855–876 (2009). https://doi.org/10.1007/s10958-009-9295-4

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  • DOI: https://doi.org/10.1007/s10958-009-9295-4

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