On the w-supersolubility of a finite group factorized by mutually permutable subgroups
https://doi.org/10.22405/2226-8383-2022-23-3-238-244
Abstract
The subgroups 𝐴 and 𝐵 of a group 𝐺 are called mutually permutable if 𝐴 permutes with all subgroups of 𝐵 and 𝐵 permutes with all subgroups of 𝐴. The sufficient conditions of wsupersolubility of a group 𝐺 = 𝐴𝐵 that is factorized by two mutually permutable w-supersoluble subgroups 𝐴 and 𝐵 were obtained. Besides we found the construction of w-supersoluble residual of such group.
About the Authors
Natalia Vital’evna Artemenko
Brest State A. S. Pushkin University
Belarus
Belarus
Alexander Alexandrovich Trofimuk
Brest State A. S. Pushkin University
Belarus
Belarus
candidate of physical and mathematical sciences
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Review
For citations:
Artemenko N.V., Trofimuk A.A. On the w-supersolubility of a finite group factorized by mutually permutable subgroups. Chebyshevskii Sbornik. 2022;23(3):238-244. (In Russ.) https://doi.org/10.22405/2226-8383-2022-23-3-238-244
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