On the Chermak-Delgado lattice of a finite group
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909538608742400 |
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| author | McCulloch, Ryan Tărnăuceanu, Marius |
| author_facet | McCulloch, Ryan Tărnăuceanu, Marius |
| contents | By imposing conditions upon the index of a self-centralizing subgroup of a group, and upon the index of the center of the group, we are able to classify the Chermak-Delgado lattice of the group. This is our main result. We use this result to classify the Chermak-Delgado lattices of dicyclic groups and of metabelian $p$-groups of maximal class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12300 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Chermak-Delgado lattice of a finite group McCulloch, Ryan Tărnăuceanu, Marius Group Theory By imposing conditions upon the index of a self-centralizing subgroup of a group, and upon the index of the center of the group, we are able to classify the Chermak-Delgado lattice of the group. This is our main result. We use this result to classify the Chermak-Delgado lattices of dicyclic groups and of metabelian $p$-groups of maximal class. |
| title | On the Chermak-Delgado lattice of a finite group |
| topic | Group Theory |
| url | https://arxiv.org/abs/2503.12300 |