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On the cohomology of soluble groups of finite rank. (English) Zbl 0311.20012

MSC:
20E15 Chains and lattices of subgroups, subnormal subgroups
20J05 Homological methods in group theory
11R37 Class field theory
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[1] Bieri, R., Ueber die cohomologische dimension der auflösbaren, Gruppen. math. Z., 128, 235-243, (1972) · Zbl 0237.20027
[2] Fuchs, L., Abelian groups, (1960), Pergamon Press Oxford · Zbl 0100.02803
[3] Gruenberg, K.W., Cohomological topics in group theory, () · Zbl 0205.32701
[4] Lyndon, R.C., The cohomology theory of group extensions, Duke math. J., 15, 271-292, (1948) · Zbl 0031.19802
[5] MacLane, S., Homology, (1963), Springer Berlin · Zbl 0133.26502
[6] Robinson, D.J.S., Residual properties of some classes of infinite soluble groups, Proc. London math. soc., 18, 3, 495-520, (1968) · Zbl 0157.05402
[7] Robinson, D.J.S., Finiteness conditions and generalized soluble groups, (1972), Springer Berlin · Zbl 0395.20020
[8] D.J.S. Robinson, Splitting theorems for infinite groups, Symposia Math. (to appear).
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