Viewing topic: Conjugacy Class

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Conjugacy Class

  • Definition: The orbit of x (in a group G) for conjugation is called the conjugacy class of x, and is often denoted C(x). It consists of all of the conjugates gxg^(-1): C(x)={x' in G| x' = gxg^(-1) for some g in G}.

    Source: Algebra, second edition by Michael Artin

  • Listed under: Abstract Algebra, Algebraic Topology

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