1
$\begingroup$

Why does this happen?

Permute[{0, 0, 0}, SymmetricGroup[3]]

(* {{0, 0, 0}} *)

Permute[{0, 0, 0}, AlternatingGroup[3]]

(* {{0, 0, 0}, {0, 0, 0}, {0, 0, 0}} *)
$\endgroup$
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  • $\begingroup$ It would be helpful if you specified what you find surprising in these results and what results you were expecting instead. $\endgroup$
    – MarcoB
    Mar 22, 2019 at 21:00
  • $\begingroup$ Why not {{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0},{0,0,0}} for S3 $\endgroup$
    – user63582
    Mar 22, 2019 at 21:03
  • $\begingroup$ As you can see by trying Permute[{a, a, b}, SymmetricGroup[3]] and Permute[{a, b, c}, SymmetricGroup[3]], Permute returns a list of non-identical results (essentially using something like DeleteDuplicates at the end). $\endgroup$
    – march
    Mar 22, 2019 at 21:54
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    $\begingroup$ @march But then, why does the AlternatingGroup[3] version have 3 identical results? I think this is probably a bug. $\endgroup$
    – Carl Woll
    Mar 22, 2019 at 22:13
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    $\begingroup$ @CarlWoll. Yes, you're right: that's inconsistent behavior. Some basic playing around indicates that SymmetricGroup is the outlier here. $\endgroup$
    – march
    Mar 22, 2019 at 22:20

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