A Note on Subgroup Perfect Codes in Cayley Graphs
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916605858938880 |
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| author | Jingjian, Li Binbin, Li Xianglin, Liu |
| author_facet | Jingjian, Li Binbin, Li Xianglin, Liu |
| contents | In this paper, we give a necessary and sufficient condition for a subgroup to be a perfect code for finite groups. As an application, we determine all subgroup perfect codes of extraspecial 2-groups and finite groups whose Sylow 2-subgroup is extraspecial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06162 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Note on Subgroup Perfect Codes in Cayley Graphs Jingjian, Li Binbin, Li Xianglin, Liu Combinatorics In this paper, we give a necessary and sufficient condition for a subgroup to be a perfect code for finite groups. As an application, we determine all subgroup perfect codes of extraspecial 2-groups and finite groups whose Sylow 2-subgroup is extraspecial. |
| title | A Note on Subgroup Perfect Codes in Cayley Graphs |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2502.06162 |