Conjugation groups and structure groups of quandles

Abstract Quandles are algebraic structures showing up in different mathematical contexts. A group šŗ with the conjugation operation forms a quandle, <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>Conj</m:mi> <m:mo>⁔</m:mo> <m:mrow> <m:mo stretchy="false">(</m:mo> <m:mi>G</m:mi> <m:mo stretchy="false">)</m:mo> </m:mrow> </m:mrow> </m:math> \operatorname{Conj}(G) . In the opposite direction, a group <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>As</m:mi