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Orbit

  • Definition: Given an operation of a group G on a set S, an element s of S will be sent to various other elements by the group operation. We collect together those elements, obtaining a subset called the orbit O_s of s: O_s = {s' in S| s'=gs for some g in G}.

    Source: Algebra, second edition by Michael Artin

  • Listed under: Abstract Algebra, Algebraic Topology

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