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arXiv · 2506.05291

On elementary abelian 2-hypergroups

Yu Jiang
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Abstract

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.

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Yu Jiang. 2025-06-05. On elementary abelian 2-hypergroups. https://arxiv.org/abs/2506.05291

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