Journal of Soviet Mathematics

, Volume 37, Issue 2, pp 998–1002 | Cite as

Completely solvable imbedding problems for local fields

  • B. B. Lur'e
Article
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Abstract

Conditions for imbedding a p-extension of local fields in a field with a given p-group are investigated. Some reduction theorems are proved, and sufficient conditions are found which guarantee such solvability.

Keywords

Local Field Reduction Theorem 
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Literature cited

  1. 1.
    O. M. Grigoryan and B. B. Lur'e, “On completely solvable imbedding problems with Abelian kernel for local fields,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst. AN SSSR,75 (1978).Google Scholar
  2. 2.
    B. B. Lur'e, “The imbedding problem of local fields with non-Abelian kernel,” J. Sov. Math.,6, No. 3 (1976).Google Scholar
  3. 3.
    S. P. Demushkin and I. R. Shafarevich, “The imbedding problem for local fields,” Izv. AN SSSR, Ser. Mat.,23, No. 6, 823–840 (1959).Google Scholar
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    B. B. Lur'e, “On the consistency condition in the problem of imbedding fields,” J. Sov. Math.,20, No. 6 (1982).Google Scholar

Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • B. B. Lur'e

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