Israel Journal of Mathematics

, Volume 141, Issue 1, pp 369–379 | Cite as

On the local-global principle for embedding problems over global fields

  • Peter Roquette


Answering a question of Moshe Jarden we construct over every global fieldK examples of embedding problems which are locally solvable everywhere but not globally solvable. The construction is based on the results of an old paper of Hoechsmann of 1967.


Cyclic Group Maximal Subgroup Galois Group Prime Divisor Proper Subgroup 
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  1. [1]
    K. Hoechsmann,Zum Einbettungsproblem, Journal für die Reine und Angewandte Mathematik229 (1967), 81–106.MathSciNetGoogle Scholar
  2. [2]
    F. Lorenz and P. Roquette,On the theorem of Grunwald-Wang in the setting of valuation theory, inValuation Theory and its Applications, Volume II (Proceedings of an International Conference and Workshop, University of Saskatchewan, Saskatoon, Canada, July 28–August 11, 1999) (F.-V. Kuhlmann et al., eds.), Fields Institute Communications33 (2003), 175–212.MathSciNetGoogle Scholar

Copyright information

© Hebrew University 2004

Authors and Affiliations

  1. 1.Mathematisches InstitutHeidelbergGermany

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