On Socle and Semisimple Groups

  • N. S. Chernikov

Abstract

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, using these properties, we prove that all almost locally solvable M′-groups are Chernikov groups.
Published
25.06.2002
How to Cite
ChernikovN. S. “On Socle and Semisimple Groups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 54, no. 6, June 2002, pp. 866-80, https://umj.imath.kiev.ua/index.php/umj/article/view/4123.
Section
Research articles