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On Nonabelian H2 for Profinite Groups

Published online by Cambridge University Press:  20 November 2018

K.-H. Ulbrich
K.-H. Ulbrich*
Affiliation:
Département de Mathématiques Université Paris-Nord 93430 Villetaneuse, France
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Abstract

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Let G be a profinite group. We define an extension (E.j) of G by a group A to consist of an exact sequence of groups together with a section j : G → E of к satisfying: for some open normal subgroup S of G, and the map is continuous (A being discrete).

Keywords

20J05
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 43 , Issue 1 , 01 February 1991 , pp. 213 - 224
Copyright
Copyright © Canadian Mathematical Society 1991

References

1. Eilenberg, S. and MacLane, S., Cohomology theory in abstract groups, II, Ann. Math. 48( 1947), 326–341.Google Scholar
2. Giraud, J., Cohomologie non abélienne, Grundl. math. Wiss. 179(Springer-Verlag, Berlin 1972).Google Scholar
3. Langlands, R.P. und Rapoport, M., Shimuravarietaten and Gerben,]. reine angew. Math. 378(1987), 113- 220.Google Scholar
4. Serre, J.-P., Cohomologie Galoisienne, Lect. Notes Math. 5 (Springer-Verlag, Berlin 1965).Google Scholar
5. Shatz, S., Profinite groups, Arithmetic and Geometry, Annals Math. Studies 67 (Princeton 1972).Google Scholar
6. Springer, T.A., Nonabelian H2 in Galois cohomology, Proc. Symp. Pure Math. 9(1966), 164–182.Google Scholar