On elementary abelian 2-hypergroups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912437482029056 |
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| author | Jiang, Yu |
| author_facet | Jiang, Yu |
| contents | A hypergroup is called an elementary abelian 2-hypergroup if it is a constrained direct product of the closed subsets of two elements. In this paper, the elementary abelian 2-hypergroups are studied. All closed subsets and all strongly normal closed subsets of the elementary abelian 2-hypergroups are determined. The numbers of all closed subsets and all strongly normal closed subsets of the elementary abelian 2-hypergroups are given. A criterion for the isomorphic closed subsets of the elementary abelian 2-hypergroups is displayed. The automorphism groups of all closed subsets of the elementary abelian 2-hypergroups are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05291 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On elementary abelian 2-hypergroups Jiang, Yu Combinatorics 20N20, 05E30 A hypergroup is called an elementary abelian 2-hypergroup if it is a constrained direct product of the closed subsets of two elements. In this paper, the elementary abelian 2-hypergroups are studied. All closed subsets and all strongly normal closed subsets of the elementary abelian 2-hypergroups are determined. The numbers of all closed subsets and all strongly normal closed subsets of the elementary abelian 2-hypergroups are given. A criterion for the isomorphic closed subsets of the elementary abelian 2-hypergroups is displayed. The automorphism groups of all closed subsets of the elementary abelian 2-hypergroups are presented. |
| title | On elementary abelian 2-hypergroups |
| topic | Combinatorics 20N20, 05E30 |
| url | https://arxiv.org/abs/2506.05291 |