Journal of the Mathematical Society of Japan

Two-point homogeneous quandles with prime cardinality

Hiroshi TAMARU

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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.

Article information

J. Math. Soc. Japan, Volume 65, Number 4 (2013), 1117-1134.

First available in Project Euclid: 24 October 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45}
Secondary: 53C30: Homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15]

quandles symmetric spaces two-point homogeneous Riemannian manifolds


TAMARU, Hiroshi. Two-point homogeneous quandles with prime cardinality. J. Math. Soc. Japan 65 (2013), no. 4, 1117--1134. doi:10.2969/jmsj/06541117.

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