2015/11/20 by Yasumichi Matsuzawa, Matsuzawa, Yasumichi, Hiromichi Ohno +7
Mathematics · #Advanced Topics in Algebra #Finite Group Theory Research #Rings, Modules, and Algebras #math.GR #math.OA
paper · pdf · doi:10.48550/arxiv.1511.06486
arxiv created 2015/11/20 · arxiv updated 2015/11/23
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.