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Freie Produkte pro-endlicher Gruppen und ihre Kohomologie. (German) Zbl 0254.20023


MSC:

20E18 Limits, profinite groups
20E06 Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations
20J05 Homological methods in group theory
11R32 Galois theory
11S20 Galois theory
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References:

[1] E.Binz, J.Neukirch and G. H.Wenzel, A subgroup theorem f?r free products of profinite groups. Erscheint demn?chst. · Zbl 0232.20052
[2] K. Iwasawa, On solvable extensions of algebraic number fields. Ann. of Math.58, 548-572 (1953). · Zbl 0051.26602
[3] S.Lang, Rapport sur la Cohomologie des Groupes. New York 1966. · Zbl 0171.28903
[4] J.Neukirch, Einbettungsprobleme mit lokaler Vorgabe und freie Produkte lokaler Galoisgruppen. Erscheint demn?chst. · Zbl 0263.12006
[5] J. Neukirch, Kennzeichnung der endlichen algebraischen Zahlk?rper durch die Galoisgruppe der maximal aufl?sbaren Erweiterungen. J. reine angew. Math.238, 135-147 (1969). · Zbl 0201.05901
[6] G.Poitou, Cohomologie Galoisienne des Modules finis. Paris 1967. · Zbl 0161.04203
[7] J.-P.Serre, Cohomologie Galoisienne. Lecture Notes in Math.5, Berlin-G?ttingen-Heidelberg 1964.
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