Conjugation in group theory refers to the operation of taking an element of a group and transforming it by another element of that same group. This is expressed as the action of one group element on another, where if you have an element 'g' and an element 'h', the conjugate of 'h' by 'g' is given by the expression $ghg^{-1}$. This operation reveals important structural properties of groups and is key to understanding how elements relate to each other within the group's geometry.
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