Finite groups with dense solitary subgroups
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917866946691072 |
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| author | Tărnăuceanu, Marius |
| author_facet | Tărnăuceanu, Marius |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08782 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite groups with dense solitary subgroups Tărnăuceanu, Marius Group Theory 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. |
| title | Finite groups with dense solitary subgroups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2412.08782 |