On elementary abelian 2-hypergroups
Combinatorics
2025-06-19 v2
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.
Cite
@article{arxiv.2506.05291,
title = {On elementary abelian 2-hypergroups},
author = {Yu Jiang},
journal= {arXiv preprint arXiv:2506.05291},
year = {2025}
}
Comments
Submitted version (18 pages)