Let $G$ be a group. The lattice of all subgroups of $G$ is atomic if and only if $G$ is torsion. The atoms are subgroups generated by elements of prime order. Is there a similar condition for the lattice of all normal subgroups of $G$?
2026-03-31 14:17:20.1774966640
When is the lattice of all normal subgroups of a group atomic?
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