Abstract
Finite groups, whose p-complements commute with a definite set of subgroups of a Sylow p-subgroup, are investigated. It is proved that such groups are p-soluble and have a p-length equal to 1.
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Translated from Matematicheskie Zametki, Vol. 9, No. 4, pp. 375–383, April, 1971.
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Sergienko, V.I. A criterion for the p-solubility of finite groups. Mathematical Notes of the Academy of Sciences of the USSR 9, 216–220 (1971). https://doi.org/10.1007/BF01387767
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DOI: https://doi.org/10.1007/BF01387767