On the supersoluble residual of a product of subnormal supersoluble subgroups


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Resumo

We give a sufficient condition for supersolubility of a finite group that is a product of two subnormal supersoluble subgroups. We prove that the supersoluble residual of such a group is equal to its nilpotent residual. Also we apply these results to finite groups that are a product of two subnormal p-supersoluble subgroups.

Sobre autores

V. Monakhov

Francisk Skorina Gomel State University

Autor responsável pela correspondência
Email: Victor.Monakhov@gmail.com
Belarus, Gomel

I. Chirik

Gomel Engineering Institute of the Ministry for Emergency Situations of the Republic of Belarus

Email: Victor.Monakhov@gmail.com
Belarus, Gomel

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