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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 356, Pages 5–45 (Mi znsl2108)  
Non-abelian associated orders of wildly ramified local field extensions

M. V. Bondarko, A. V. Dievskii

Saint-Petersburg State University
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Abstract: In the article a mixed characteristic wildly ramified local field extension is considered. The structure of associated order of such an extension and the question of whether an extension with a give associated order exists is studied. The non-abelian case is described. A classification theorem is proven. A series of non-abelian extensions of given type is constructed. Bibl. – 9 titles.
Received: 05.05.2008
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 156, Issue 6, Pages 855–876
DOI: https://doi.org/10.1007/s10958-009-9295-4
Bibliographic databases:
UDC: 512.717+512.741.2
Language: Russian
Citation: M. V. Bondarko, A. V. Dievskii, “Non-abelian associated orders of wildly ramified local field extensions”, Problems in the theory of representations of algebras and groups. Part 17, Zap. Nauchn. Sem. POMI, 356, POMI, St. Petersburg, 2008, 5–45; J. Math. Sci. (N. Y.), 156:6 (2009), 855–876
Citation in format AMSBIB
\Bibitem{BonDie08}
\by M.~V.~Bondarko, A.~V.~Dievskii
\paper Non-abelian associated orders of wildly ramified local field extensions
\inbook Problems in the theory of representations of algebras and groups. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 356
\pages 5--45
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2108}
\zmath{https://zbmath.org/?q=an:05632944}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 156
\issue 6
\pages 855--876
\crossref{https://doi.org/10.1007/s10958-009-9295-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-65049089663}
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