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Ascending verbal and Frattini series. (English) Zbl 0080.01704


Keywords:

Group Theory
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References:

[1] Baer, R.: The higher commutator subgroups of a group. Bull. Amer. Math. Soc.50, 143-160 (1944). · Zbl 0061.02701
[2] Baer, Reinhold: Das Hyperzentrum einer Gruppe III. Math. Z.59, 299-338 (1953). · Zbl 0053.20703
[3] Baer, R.: Review ofK. A. Hirsch: On infinite soluble groups V. Math. Reviews15, 851 (1954).
[4] Frattini, G.: Intorno alla generazione dei gruppi di operazioni. Atti R. Accad. dei Lincei, Rendiconti (IV)1, 281-285 (1885). · JFM 17.0097.01
[5] Gaschütz, Wolfgang: Über die ?-Untergruppe endlicher Gruppen. Math. Z.58, 160-170 (1953). · Zbl 0050.02202
[6] Higman, Graham, andB. H. Neumann: On two questions ofItô. J. London Math. Soc.29, 84-88 (1954). · Zbl 0055.01602
[7] Miller, G. A.: The ?-subgroup of a group. Trans. Amer. Math. Soc.16, 20-26 (1915); Collected Works3, 441-447 (1946). · JFM 45.0250.04
[8] Neumann, B. H.: Some remarks on infinite groups. J. London Math. Soc.12, 120-127 (1937). · Zbl 0016.29501
[9] Neumann, B. H.: Identical relations in groups I. Math. Ann.114, 506-525 (1937). · Zbl 0016.35102
[10] Neumann, B. H.: Ascending derived series. Compos. Math.13, 47-64 (1956). · Zbl 0070.25405
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