Abstract
We describe finite groupsG every subgroup of which that does not belong to the Frattini subgroup ϕ (G) has a complement.
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References
N. V. Chernikova, “Well-factorizable groups,”Dokl. Akad. Nauk SSSR,92, No. 5, 877–880 (1953).
N. V. Chernikova, “Groups with complementable subgroups,”Mat. Sb.,39, No. 3, 273–292 (1956).
Additional information
Bryansk Pedagogic University, Bryansk, Russia. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 6, pp. 854–855, June, 1999
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Dovzhenko, S.A. On the Chernikova theorem on well-factorizable groups. Ukr Math J 51, 956–957 (1999). https://doi.org/10.1007/BF02591983
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DOI: https://doi.org/10.1007/BF02591983