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Homework Help: Group orbits

  1. Jul 31, 2005 #1
    group theory : orbits


    I'm trying to calculate the orbits of some simple groups. I have found many explanations of what they are, but no example calculations. does anyone have any ideas where to look. I'm trying to calculate the orbit of SO(3).

    Last edited: Jul 31, 2005
  2. jcsd
  3. Jul 31, 2005 #2
    What in heaven's name is the orbit of a group ?
    Could you explain; please ?

  4. Jul 31, 2005 #3
    group theory : orbits

    if you let A be a group and G be an action on that group with a being a point in A. The set of all the images of the permutations of x by g in G on A is the orbit.

    and here's the obligatory mathworld link: http://mathworld.wolfram.com/GroupOrbit.html

    example : the orbit of the rotation group SO(2) is a circle.

    ( ... but i've been teaching myself all this, so there is a chance that I am completely wrong)
    Last edited: Jul 31, 2005
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