conjugacy class

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Noun

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conjugacy class (plural conjugacy classes)

  1. (algebra) A subset of a group which is an equivalence class in the quotient set of the group divided by conjugation as equivalence relation.
    For a given element of some group , its conjugacy class is .
    If a group acts on itself through conjugation, then its orbits are its conjugacy classes and its stabilizer subgroups are its centralizers.