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Let G {\displaystyle G} be a group. The conjugation rack of a group is the rack given by the following multiplication:
a ∗ b := b − 1 a b {\displaystyle \!a*b:=b^{-1}ab}
In the exponential notation, it is given by:
a b := b − 1 a b {\displaystyle a^{b}:=b^{-1}ab}
The conjugation rack of a group is a quandle.
be a group. The conjugation rack of a group is the rack given by the following multiplication:
