Faculty Publications

Title

Abelian and Non-Abelian Triangle Mysteries

SelectedWorks Author Profiles:

Lon Mitchell

Document Type

Article

Publication Date

2016

ISSN

0002-9890 (Print) 1930-0972 (Online)

Abstract

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.

Publisher

Taylor & Francis

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