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Finite groups with a cyclic maximal subgroup. (English. Russian original) Zbl 0407.20018

Ukr. Math. J. 28(1976), 500-506 (1977); translation from Ukr. Mat. Zh. 28, 646-654 (1976).

MSC:

20D30 Series and lattices of subgroups
20D25 Special subgroups (Frattini, Fitting, etc.)
Full Text: DOI

References:

[1] V. V. Pilaév, ?Finite groups with a dense system of subinvariant subgroups,? Dopovidi Akad. Nauk UkrRSR, Ser. A, No. 9, 794-796 (1974).
[2] M. Hall, The Theory of Groups, Macmillan, New York (1959). · Zbl 0084.02202
[3] N. Herstein, ?A remark on finite groups,? Proc. Amer. Math. Soc.,9, No. 2, 255-257 (1958). · Zbl 0089.01601 · doi:10.1090/S0002-9939-1958-0093542-8
[4] S. N. Chernikov, ?Complementation of Sylow II-subgroups in certain classes of infinite groups,? Dokl. Akad. Nauk SSSR,102, No. 3, 457-459 (1955). · Zbl 0067.25801
[5] L. Redei, ?Das ?schiefe Produkt? in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativan echten Untergruppen und die Ordnungszahlen, zun denen nur kommutative Gruppen gehören,? Comment. Math. Helv.,20, 225-264 (1947). · Zbl 0035.01503 · doi:10.1007/BF02568131
[6] M. I. Kargapolov and Yu. I. Merzlyakov, Foundations of Group Theory [in Russian], Nauka, Moscow (1972). · Zbl 0499.20001
[7] B. Huppert, Endliche Gruppen. I, Springer-Verlag, Berlin-Heidelberg-New York (1967).
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