On Finite Groups with Permutable Generalized Subnormal Subgroups

• Datum: 2013
• Hauptverfasser: Velesnitskii, V. F., Semenchuk, V. N., Велесницкий, В. Ф., Семенчук, В. Н.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2534
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the Kegel–Shemetkov problem of finding the classes of finite groups \( {\mathfrak F} \) such that, in any finite group, the product of permutable \( {\mathfrak F} \) -subnormal subgroups is a \( {\mathfrak F} \) -subnormal subgroup.