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Subgroups of finite index in profinite groups. (English) Zbl 0394.20020


MSC:

20E18 Limits, profinite groups
20F12 Commutator calculus
20E07 Subgroup theorems; subgroup growth
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References:

[1] Anderson, M.P.: Subgroups of finite index in profinite groups. Pacific J. Math.62, 19-28 (1976) · Zbl 0302.20035
[2] Higman, G.: The complementation of abelian normal subgroups. Publ. Math. Debrecen4, 455-458 (1956) · Zbl 0075.23904
[3] Carter, R., Hawkes, T.: TheF-normalizers of a finite soluble group. J. Algebra5, 175-202 (1967) · Zbl 0167.29201 · doi:10.1016/0021-8693(67)90034-8
[4] Kelley, J.L.: General Topology. Princeton, N.J.: Van Nostrand 1955 · Zbl 0066.16604
[5] Rhemtulla, A.H.: Commutators of certain finitely generated soluble groups. Canad. J. Math.21, 1160-1164 (1969) · Zbl 0186.03903 · doi:10.4153/CJM-1969-126-4
[6] Oltikar, B.C., Ribes, L.: On prosupersolvable groups. Pacific J. Math. (to appear) · Zbl 0406.20027
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