Non-commutative hypergroup of order five

Autor:	Matsuzawa, Yasumichi, Ohno, Hiromichi, Suzuki, Akito, Tsurii, Tatsuya, Yamanaka, Satoe
Rok vydání:	2015
Předmět:	Mathematics - Group Theory Mathematics - Operator Algebras
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1511.06486 Zobrazit plný text záznamu View this record from Arxiv