On Socle and Semisimple Groups

Authors

  • 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

Issue

Section

Research articles

How to Cite

Chernikov, N. 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.