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Right coset and orbits

  1. Oct 13, 2009 #1
    I'm just wondering if there is some sort of relationship between right coset and orbit of x. We just got to cosets, and it seems like the properties of cosets are eerily similar to orbits.
  2. jcsd
  3. Oct 16, 2009 #2


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    Of course their is a relationship.

    First of all, I think you answered your own question.

    Second, a random book I picked up had a section on cosets right after the section on orbits and cyclic groups.

  4. Oct 17, 2009 #3


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    I'd like to note, you specifically mentioned the right coset and orbit of 'x'. Be careful if you choose a different variable, say, 'z'.

    Z has mystical properties that defy abstract algebra.
  5. Oct 17, 2009 #4


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    You might be interested in theorem 3 on page 4 of this article.
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