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Another homological characterization of finite \(p\)-nilpotent groups. (English) Zbl 0344.20017


MSC:

20D15 Finite nilpotent groups, \(p\)-groups
20J05 Homological methods in group theory
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References:

[1] Cartan, H., Eilenberg, S.: Homological algebra. Princeton: Princeton University Press 1956 · Zbl 0075.24305
[2] Hilton, P.J., Stammbach, U.: A course in homological algebra. Berlin-Heidelberg-New York: Springer 1971 · Zbl 0238.18006
[3] Hoechsmann, K., Roquette, P., Zassenhaus, H.: A cohomological characterization of finite nilpotent groups. Arch. der Math.19, 225?244 (1968) · Zbl 0157.05603 · doi:10.1007/BF01899499
[4] Quillen, D.G.: A cohomological criterion forp-nilpotence. J. pure appl. Algebra1, 361?372 (1971) · Zbl 0254.20038 · doi:10.1016/0022-4049(71)90003-X
[5] Stammbach, U.: Homology in group theory. Lecture Notes in Mathematics, Vol. 359. Berlin-Heidelberg-New York: Springer 1973 · Zbl 0272.20049
[6] Tate, J.: Nilpotent quotient groups. Topology3, 109?111 (1964) · Zbl 0125.01503 · doi:10.1016/0040-9383(64)90008-4
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