Flat connected finite quandles

Abstract

Quandles can be regarded as generalizations of symmetric spaces. In the study of symmetric spaces, the notion of flatness plays an important role. In this paper, we define the notion of flat quandles, by referring to the theory of Riemannian symmetric spaces, and classify flat connected finite quandles.

15 pages

References in corpus (3)

• Two-point homogeneous quandles with prime cardinality
• Doubly transitive groups and cyclic quandles
• On classification of quandles of cyclic type