We prove the supersolvability of a finite factorizable group G = G 1 G 2 . . .G n with pairwise permutable factors each of which has a cyclic subgroup of odd order H i and |G i : H i | ≤ 2.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 7, pp. 1006–1008, July, 2015.
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Chirik, I.K. On a Factorizable Group with Large Cyclic Subgroups in Factors. Ukr Math J 67, 1133–1136 (2015). https://doi.org/10.1007/s11253-015-1139-4
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DOI: https://doi.org/10.1007/s11253-015-1139-4