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Rational cohomology of nilpotent groups and Lie algebras. (English) Zbl 0403.20031


MSC:

20J05 Homological methods in group theory
20C07 Group rings of infinite groups and their modules (group-theoretic aspects)
20F40 Associated Lie structures for groups
20F18 Nilpotent groups
17B35 Universal enveloping (super)algebras
17B56 Cohomology of Lie (super)algebras
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References:

[1] Bourbaki N., Algèbre Commutative (1961)
[2] Cartan H., Homological Algebra (1956)
[3] Hall P., Proc. London Math, Soc 4 (3) pp 419– (1954)
[4] Jategaonkar A.V., J. Pure and Applied Algebra 4 (3) pp 337– (1974) · Zbl 0297.20013 · doi:10.1016/0022-4049(74)90013-9
[5] Jennings S.A., Canad. J. Math 7 (3) pp 169– (1955) · Zbl 0066.01302 · doi:10.4153/CJM-1955-022-5
[6] Malcev, A.I. 1949.On a class of homogeneous spaces, Vol. 13, 567–588. Izv. Akad. Nauk SSSR Ser. Mat. Translation:Amer. Math. Soc.Transl. (1)9 (1962), 276- 307
[7] McConnell J.C., J. London Math. Soc 43 pp 421– (1968) · Zbl 0162.05203 · doi:10.1112/jlms/s1-43.1.421
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[9] Zariski O., Commutative Algebra (1960) · doi:10.1007/978-3-662-29244-0
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