Abstract
We establish many new properties of $M''$-groups and give a large set of new counter-examples to the well-known problems of R. Baer (1949) and S. N. Chernikov (1959) concerning socle groups, $M''$-groups and $M'$-groups. In passing we also show that for a periodic $FC$-group $G$ and its locally soluble radical $R$ the factor group $G/L(G)R$ is residually finite, where $L(G)$ is the product of all normal semisimple subgroups of $G$.
Citation
N. S. Chernikov. "On Baer's problem and properties of $M''$-groups." Illinois J. Math. 47 (1-2) 71 - 85, Spring/Summer 2003. https://doi.org/10.1215/ijm/1258488139
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