My prof. assigned this problem as the only one for HW a few days back, and for some reason the answer seems too obvious. What subtleties could I possibly be missing?(adsbygoogle = window.adsbygoogle || []).push({});

Let G be a group of permutations in a set S. If [tex]x, y \in S[/tex] and [tex] y \in orb_g(x)[/tex], then [tex]orb_g(y) = orb_g(x)[/tex]

Still, I am unsure how to put it in words. I'll edit this post as I come up with ideas but I think I might need a kick in the right direction, because even as I'm writing this I'm starting to realize it's not entirely trivial.

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# Homework Help: Abstract algebra problem concern

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