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arXiv · 1511.06486

Non-commutative hypergroup of order five

Yasumichi Matsuzawa·Hiromichi Ohno·Akito Suzuki·Tatsuya Tsurii·Satoe Yamanaka
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Abstract

We prove that all hypergroups of order four are commutative and that there exists a non-comutative hypergroup of order five. These facts imply that the minimum order of non-commutative hypergroups is five even though the minimum order of non-commutative groups is six.

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Yasumichi Matsuzawa, Hiromichi Ohno, Akito Suzuki, Tatsuya Tsurii, Satoe Yamanaka. 2015-11-20. Non-commutative hypergroup of order five. https://arxiv.org/abs/1511.06486

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