Lutz filtration as a Galois module

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• 作者：S. Vostokov ; I. Nekrasov ; R. Vostokova
• 刊名：Lobachevskii Journal of Mathematics
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：37
• 期：2
• 页码：214-221
• 全文大小：605 KB
• 参考文献：1.S. V. Vostokov, Zap. Nauchn. Sem. LOMI 160 (8), 182–192 (1987).
  2.S. V. Vostokov and A. N. Zinoviev, J. Math. Sci. (N.Y.) 145 (1), 4765–4772 (2007).MathSciNet CrossRef
  3.M. V. Bondarko and S. V. Vostokov, Proc. Steklov Inst. Math. 241, 35–37 (2003).MathSciNet
  4.M. I. Bashmakov and A. N. Kirillov, Mathematics of the USSR-Izvestiya 9 (6), 1155–1167 (1975).CrossRef
  5.S. V. Vostokov, Mathematics of the USSR-Izvestiya 13 (3), 557–588 (1979).CrossRef
  
• 作者单位：S. Vostokov (1)
  I. Nekrasov (1)
  R. Vostokova (2)
  
  1. St. Petersburg State University, Universitetskaya nab. 7–9, 199034, St. Petersburg, Russia
  2. Pervaya Krasnoarmeiskaya ul. 1, St. Petersburg, 190005, Russia
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Algebra
  Analysis
  Geometry
  Mathematical Logic and Foundations
  Probability Theory and Stochastic Processes
  Russian Library of Science
  
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1818-9962

文摘

In the paper, we consider a formal module F(M _L ) and its Lutz filtration M _L ⊃ M _L 2 ⊃ M _L 3 ⊃..., where K is a finite extension of the field of p-adic numbers Q _p , L/K is a normal extension without higher ramification with Galois group G = Gal(L/K), F(X, Y) is a formal group over a ring of integers O _K with finite height. We study its structure as Z[G]-modules. The main result is contained in Theorem 4.