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General question about orbits (group theory)

  1. Apr 30, 2012 #1
    Hi everyone,

    I was just wondering if you have an element of a G-set which has an orbit of only itself,

    Say Orbit(e) = {e}, in the set of permutations where G is the same order group of permutations and the operation is conjugation.

    This is an Orbit of size 1 correct?

    I was just wondering if these size Orbits are often ignored?
  2. jcsd
  3. Apr 30, 2012 #2


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    Can you give an example of when you ever ignore these orbits?
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