Israel Journal of Mathematics

, Volume 198, Issue 1, pp 229–242 | Cite as

Embedding problems with local conditions and the admissibility of finite groups

  • NguyỄn Duy Tân


Let K be a field of characteristic p > 0, which has infinitely many discrete valuations. We show that every finite embedding problem for Gal(K) with finitely many prescribed local conditions, whose kernel is a p-group, is properly solvable. We then apply this result in studying the admissibility of finite groups over global fields of positive characteristic. We also give another proof for a result of Sonn.


Weak Solution Exact Sequence Galois Group Division Algebra Sylow Subgroup 
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© Hebrew University Magnes Press 2013

Authors and Affiliations

  1. 1.FB6, MathematikUniversität Duisburg-EssenEssenGermany
  2. 2.Institute of MathematicsHanoiVietnam

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