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This article is cited in 5 scientific papers (total in 5 papers)
Lubin–Tate extensions, an elementary approach
Yu. L. Ershov
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
We give an elementary proof of the assertion that the Lubin–Tate
extension $L\ge K$ is an Abelian extension whose Galois group is isomorphic
to $U_K/N_{L/K}(U_L)$ for arbitrary fields $K$ that have Henselian discrete
valuation rings with finite residue fields. The term ‘elementary’ only means
that the proofs are algebraic (that is, no transcedental methods are
used [1], pp. 327, 332).
DOI:
https://doi.org/10.4213/im728
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English version:
Izvestiya: Mathematics, 2007, 71:6, 1079–1104
Bibliographic databases:
    
UDC:
510.53+512.52
MSC: 11S31, 14L05
Received: 20.12.2005
Citation:
Yu. L. Ershov, “Lubin–Tate extensions, an elementary approach”, Izv. RAN. Ser. Mat., 71:6 (2007), 3–28; Izv. Math., 71:6 (2007), 1079–1104
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http://mi.mathnet.ru/eng/izv728https://doi.org/10.4213/im728 http://mi.mathnet.ru/eng/izv/v71/i6/p3
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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Yu. L. Ershov, “Root continuity theorems in valued fields”, Siberian Math. J., 47:6 (2006), 1027–1033
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Yu. L. Ershov, “Separants of some polynomials”, Siberian Math. J., 52:5 (2011), 836–839
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Yu. L. Ershov, “Generalizations of Hensel's lemma and the nearest root method”, Algebra and Logic, 50:6 (2012), 473–477
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Yu. L. Ershov, “Separant of an arbitrary polynomial”, Algebra and Logic, 53:6 (2015), 458–462
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Yu. L. Ershov, “How to find (compute) a separant”, Algebra and Logic, 54:2 (2015), 155–160
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