On Socle and Semisimple Groups

• Date: 2002
• Main Authors: Chernikov, N. S., Черников, Н. С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4123
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove a theorem that gives a large array of new counterexamples to the known Baer (1949) and S. Chernikov (1959) problems related to socle groups. All these counterexamples are semisimple groups. We also establish many new properties of locally subinvariant semisimple subgroups. In particular, us...