# Group orbits

1. Jul 31, 2005

### rdc30ynow

group theory : orbits

hi.

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).

thanks

Last edited: Jul 31, 2005
2. Jul 31, 2005

### marlon

What in heaven's name is the orbit of a group ?
Could you explain; please ?

marlon

3. Jul 31, 2005

### rdc30ynow

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