Quotient groups of locally graded groups and groups of certain Kurosh-Chernikov classes

• Date: 1998
• 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 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4807
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish the validity of the inclusion G/N∈ X for groups G ∈ X under certain restrictions on N ⊴ G, where X is one of the following classes, the class of locally graded groups, the class of RI-groups, or the class \(\hat P\mathfrak{Y}\) for a fixed group variety \(\mathfrak{Y} \supseteq \m...