It is shown that a finite group with complemented subgroups of order p 2 is soluble for all p and its derived length does not exceed 4.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 7, pp. 874–881, July, 2015.
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Knyagina, V.N., Monakhov, V.S. On the Derived Length of a Finite Group with Complemented Subgroups of Order p 2 . Ukr Math J 67, 989–997 (2015). https://doi.org/10.1007/s11253-015-1131-z
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DOI: https://doi.org/10.1007/s11253-015-1131-z