Symmetric quandle associated groups are characterized: the underlying quandle's group is a central extension of the symmetric one with a free abelian kernel, and embeddability is equivalent.
Beggs and Shahn Majid, Quantum Riemannian geometry, Grundlehren der mathema- tischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol
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Associated groups of symmetric quandles
Symmetric quandle associated groups are characterized: the underlying quandle's group is a central extension of the symmetric one with a free abelian kernel, and embeddability is equivalent.