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The Frattini subgroup of a direct product of groups. (English) Zbl 0101.26303


Keywords:

group theory
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References:

[1] Vlastimil Dlab: The Frattini subgroups of abelian groups. Czechoslovak Math. J. 10, 1960, 1-16, · Zbl 0093.02801
[2] Vlastimil Dlab: Poznámka k jednomu problému tykajícímu se Frattiniho podgrup. Časopis pro pěstování matematiky 85, 1960, 87-90.
[3] G. Frattini: Intorno alia generazione dei gruppi di operazioni. Atti della R, Ac. del Lincei, ser. 4, 1, 1885, 281-285. · JFM 17.0097.01
[4] Wolfgang Gasschütz: Über die \(\Phi\)-Untergruppe endlicher Gruppen. Math. Zeitsch. 58, 1953, 160-170. · Zbl 0050.02202
[5] А. Г. Курош, С. Н. Черников: Разрешимые и нильпотентные группы. Успехы мат. наук 2, выпуск 3, (13) 1947, 18-59. · Zbl 1153.11318
[6] А. Г. Курош: Теория групп. Издание второе. Москва, 1953. · Zbl 1151.94459
[7] G. A. Miller: The \(\phi\)-subgroup of a group. Trans. Am. Math. Soc. 16, 1915, 20-26. · JFM 45.0250.04
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