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On finite factorized groups with permutable subgroups of factors

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Two subgroups A and B of a group G are called msp-permutable if the following statements hold: AB is a subgroup of G; the subgroups P and Q are mutually permutable, where P is an arbitrary Sylow p-subgroup of A and Q is an arbitrary Sylow q-subgroup of B, \({p\ne q}\). In the present paper, we investigate groups that are factorized by two msp-permutable subgroups. In particular, the supersolubility of the product of two supersoluble msp-permutable subgroups is proved.

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  1. Department of Mathematics and Programming Technologies, Francisk Skorina Gomel State University, 246019, Gomel, Belarus

    Victor S. Monakhov & Alexander A. Trofimuk

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  1. Victor S. Monakhov
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  2. Alexander A. Trofimuk
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Correspondence to Alexander A. Trofimuk.

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Monakhov, V.S., Trofimuk, A.A. On finite factorized groups with permutable subgroups of factors. Arch. Math. 116, 241–249 (2021). https://doi.org/10.1007/s00013-020-01535-3

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  • DOI: https://doi.org/10.1007/s00013-020-01535-3

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