Non-commutative hypergroup of order five
Group Theory
2015-11-23 v1 Operator Algebras
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.
Cite
@article{arxiv.1511.06486,
title = {Non-commutative hypergroup of order five},
author = {Yasumichi Matsuzawa and Hiromichi Ohno and Akito Suzuki and Tatsuya Tsurii and Satoe Yamanaka},
journal= {arXiv preprint arXiv:1511.06486},
year = {2015}
}