Quotient Groups of Groups of Certain Classes

• Date: 2000
• Main Authors: Trebenko, D. Ya., Chernikov, N. S., Требенко, Д. Я., Черников, Н. С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4519
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For an arbitrary variety \(\mathfrak{X}\) of groups and an arbitrary class \(\mathfrak{Y}\) of groups that is closed on quotient groups, we prove that a quotient group G/N of the group G possesses an invariant system with \(\mathfrak{X}\) - and \(\mathfrak{Y}\) -factors (respectively,...