Open Access
October, 2013 Two-point homogeneous quandles with prime cardinality
Hiroshi TAMARU
J. Math. Soc. Japan 65(4): 1117-1134 (October, 2013). DOI: 10.2969/jmsj/06541117

Abstract

Quandles can be regarded as generalizations of symmetric spaces. Among symmetric spaces, two-point homogeneous Riemannian manifolds would be the most fundamental ones. In this paper, we define two-point homogeneous quandles analogously, and classify those with prime cardinality.

Citation

Download Citation

Hiroshi TAMARU. "Two-point homogeneous quandles with prime cardinality." J. Math. Soc. Japan 65 (4) 1117 - 1134, October, 2013. https://doi.org/10.2969/jmsj/06541117

Information

Published: October, 2013
First available in Project Euclid: 24 October 2013

zbMATH: 1295.57011
MathSciNet: MR3127819
Digital Object Identifier: 10.2969/jmsj/06541117

Subjects:
Primary: 57M25
Secondary: 53C30

Keywords: quandles , symmetric spaces , two-point homogeneous Riemannian manifolds

Rights: Copyright © 2013 Mathematical Society of Japan

Vol.65 • No. 4 • October, 2013
Back to Top