Abelian and Non-Abelian Triangle Mysteries

作者：Mitchell Lon^*; Jones Michael A; Shelton Brittany

来源：American Mathematical Monthly, 2016, 123(8): 808-813.

DOI：10.4169/amer.math.monthly.123.08.808

Behrends and Humble characterized the Abelian groups behind mysterious behavior related to certain triangular arrays and asked if such triangles could be constructed from non-Abelian groups. We show that commutativity plays an essential role in quasigroup and semigroup triangle mysteries and prove that "mysterious groups" must be Abelian.

• 出版日期2016-10