The minimal radical and weakly irreducible groups
Matematičeskie zametki, Tome 13 (1973) no. 3, pp. 447-456
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Under certain restrictions on a class of groups $\mathfrak M$, closed with respect to epimorphisms, we prove the theorem: a nonunit group contains no accessible $\mathfrak M$-subgroups except the unit group if and only if it is approximated by weakly irreducible (after Birkhoff) groups which contain no nonunit accessible $\mathfrak M$-subgroups.