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Keywords:
normalizer; density; finite group
normalizer; density; finite group
Summary:
A group $G$ is said to have dense normalizers if every nonempty open interval in its subgroup lattice $L(G)$ contains the normalizer of a certain subgroup of $G$. We find all finite groups satisfying this property. We also classify the finite groups, in which $k$ subgroups are not normalizers for $k=1,2,3,4$.
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