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Finite groups with dense solitary subgroups
대한수학회 (The Korean Mathematical Society)|2025.09|대한수학회보 (Bulletin of the KMS)|제62권 제5호|pp. 1391-1395|DOI 10.4134/BKMS.b240459
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A group $G$ is said to have dense solitary subgroups if each non-empty open interval in its subgroup lattice $L(G)$ contains a solitary subgroup. In this short note, we find all finite groups satisfying this property.
Abstract
A group $G$ is said to have dense solitary subgroups if each non-empty open interval in its subgroup lattice $L(G)$ contains a solitary subgroup. In this short note, we find all finite groups satisfying this property.
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