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On the genus of a nilpotent group with finite commutator subgroup. (English) Zbl 0304.20017


MSC:

20E15 Chains and lattices of subgroups, subnormal subgroups
20E25 Local properties of groups
20J15 Category of groups
20D15 Finite nilpotent groups, \(p\)-groups
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References:

[1] Baumslag, G.: Lecture notes on nilpotent groups. CBMS Lecture Notes #2, Providence: American Mathematical Society 1971 · Zbl 0241.20001
[2] Hilton, P.: Localization and cohomology of nilpotent groups. Math. Z.132, 263-286 (1973) · Zbl 0264.20037 · doi:10.1007/BF01179733
[3] Hilton, P., Mislin, G.: Bicartesian squares of nilpotent groups. Commentarii math. Helvet. (in press). · Zbl 0325.20031
[4] Hilton, P., Mislin, G., Roitberg, J.: Localization of nilpotent groups and spaces. Notas de Mathematica. Amsterdam: North Holland, Mathematics Studies, Vol. 15, 1975 · Zbl 0323.55016
[5] Mislin G.: Nilpotent groups with finite commutator subgroups. In: Localization in Group Theory and Homotopy Theory (Seattle 1974) pp. 103-120. Lecture Notes in Math. Vol.418. Berlin-Heidelberg-New York: Springer 1974
[6] Warfield, R.B.: Genus and cancellation for groups with finite commutator subgroups. J. pure appl. Algebra.6, 125-132 (1975) · Zbl 0318.20022 · doi:10.1016/0022-4049(75)90002-X
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