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Zap. Nauchn. Sem. 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

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.

UDC: 512.717+512.741.2

Received: 05.05.2008


 English version:
Journal of Mathematical Sciences (New York), 2009, 156:6, 855–876

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© Steklov Math. Inst. of RAS, 2024