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The Frattini subgroups of abelian groups. (English. Russian summary) Zbl 0093.02801


Keywords:

group theory
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References:

[1] G. Birkhoff: Lattice Theory. 2nd New York 1948. · Zbl 0033.10103
[2] V. Dlab: D-hodnost Abelovy grupy. Čas. pro pěst, mat., 82 (1957), 314-334.
[3] V. Dlab: Die Endomorphismenringe abelscher Gruppen und die Darstellung von Ringen durch Matrizenringe. Чех. мат. журнал, 7 (1957), 485 - 523. · Zbl 0093.02902
[4] V. Dlab: Заметка к теории полных абелевых групп. Чех. мат. журнал, 8 (1958), 54-61. · Zbl 0082.02603
[5] W. Gaschütz: Über die \(\Phi\)-Untergruppe endlicher Gruppen. Math. Zeitschrift 58 (1953), 160-170. · Zbl 0050.02202
[6] I. Kaplansky: Infinite Abelian Groups. Ann Arbor 1954. · Zbl 0057.01901
[7] А. Г. Курош: Теория групп. 2-е изд., Москва 1953. · Zbl 1151.94459
[8] G. A. Miller: The \(\phi\)-subgroup of a group. Trans. Amer. Math. Soc. 16 (1915), 20-26. · JFM 45.0250.04
[9] B. H. Neumann: Ascending Verbal and Frattini Series. Math. Zeitschrift 69 (1958), 164-172. · Zbl 0080.01704
[10] W. Specht: Gruppentheorie. Berlin-Göttingen-Heidelberg 1956. · Zbl 0074.25603
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