It's even worse:
sage: G=SymmetricGroup(8)
sage: H=SymmetricGroup(2)
sage: a=H('(1,2)')
sage: b=G('(1,2)(3,4)')
sage: a==b
True
I don't think any interpretation would suggest this behavior as
correct. The problem is that the current compare only runs through
checking equality of the images for the two permutations as far as the
length of the first.
John's patch at Trac 5537 should correct this. I'll have some timings
and a review up later today.
Rob
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