Finite groups with dense ${\cal CD}$-subgroups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915200036241408 |
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| author | McCulloch, Ryan Tărnăuceanu, Marius |
| author_facet | McCulloch, Ryan Tărnăuceanu, Marius |
| contents | A group $G$ is said to have dense ${\cal CD}$-subgroups if each non-empty open interval of the subgroup lattice $L(G)$ contains a subgroup in the Chermak--Delgado lattice ${\cal CD}(G)$. In this note, we study finite groups satisfying this property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12302 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite groups with dense ${\cal CD}$-subgroups McCulloch, Ryan Tărnăuceanu, Marius Group Theory A group $G$ is said to have dense ${\cal CD}$-subgroups if each non-empty open interval of the subgroup lattice $L(G)$ contains a subgroup in the Chermak--Delgado lattice ${\cal CD}(G)$. In this note, we study finite groups satisfying this property. |
| title | Finite groups with dense ${\cal CD}$-subgroups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2503.12302 |