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- URN zum Zitieren dieses Dokuments:
- urn:nbn:de:bvb:355-epub-266918
- DOI zum Zitieren dieses Dokuments:
- 10.5283/epub.26691
Zusammenfassung
Let k be an algebraic number field and A a finite, irreducible Gk-module. We show that the localization mapping H1(k,A)→∏pH1(kp,A) is injective (or that for imbedding problems with such a kernel A the full local-global principle holds), if the trivializing extension k(A)/k is p-solvable (p is the prime number with pA=0), and that for nonsolvable k(A)/k this is in general false (counterexample ...
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