Finite Abelian Groups with Toroidal Subgroup Lattices
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913398084599808 |
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| author | Moy, Richard A. |
| author_facet | Moy, Richard A. |
| contents | In this paper, we determine the genus of the subgroup lattice of several families of abelian groups. In doing so, we classify all finite abelian groups whose subgroup lattices can be embedded into the torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13202 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite Abelian Groups with Toroidal Subgroup Lattices Moy, Richard A. Combinatorics Group Theory In this paper, we determine the genus of the subgroup lattice of several families of abelian groups. In doing so, we classify all finite abelian groups whose subgroup lattices can be embedded into the torus. |
| title | Finite Abelian Groups with Toroidal Subgroup Lattices |
| topic | Combinatorics Group Theory |
| url | https://arxiv.org/abs/2406.13202 |