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On certain subsocles of a primary abelian group. (English) Zbl 0206.31104

MSC:
20K10 Torsion groups, primary groups and generalized primary groups
20K27 Subgroups of abelian groups
20D15 Finite nilpotent groups, \(p\)-groups
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References:
[1] FUCHS (L.) . - Abelian groups . - Budapest, Hungarian Academy of Sciences, 1958 . MR 21 #5672 | Zbl 0091.02704 · Zbl 0091.02704
[2] HILL (P.) and MEGIBBEN (C.) . - On primary groups with countable basic subgroups , Trans. Amer. math. Soc., t. 124, 1966 , p. 49-59. MR 33 #7409 | Zbl 0146.04203 · Zbl 0146.04203 · doi:10.2307/1994434
[3] IRWIN (J.) and BENABDALLAH (K.) . - On N-high subgroups of abelian groups , Bull. Soc. math. France, t. 96, 1968 , p. 337-346. Numdam | MR 38 #5921 | Zbl 0177.04202 · Zbl 0177.04202 · numdam:BSMF_1968__96__337_0 · eudml:87114
[4] PIERCE (R.S.) . - Centers of purity in abelian groups , Pacific J. of Math., t. 13, 1963 , p. 215-219. Article | MR 28 #3095 | Zbl 0114.25703 · Zbl 0114.25703 · doi:10.2140/pjm.1963.13.215 · minidml.mathdoc.fr
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