Is this me or is it a bug?
sage: S3 = SymmetricGroup(3)
sage: A3 = S3.subgroup([(1,2,3)])
....: for x in S3:
....: print('{:>7}: left coset = {}'.format(x, [x*h for h in A3]))
....: print(' : right coset = {}'.format([h*x for h in A3]))
....:
(): left coset = [(), (1,2,3), (1,3,2)]
: right coset = [(), (1,2,3), (1,3,2)]
(1,2): left coset = [(1,2), (1,3), (2,3)]
---------------------------------------------------------------------------
TypeError Traceback (most recent call last)
...
TypeError: unsupported operand parent(s) for *: 'Subgroup of (Symmetric
group of order 3! as a permutation group) generated by [(1,2,3)]' and
'Symmetric
group of order 3! as a permutation group'
> /Users/andrew/Downloads/sage/structure/coerce.pyx(1168)sage.structure.
coerce.CoercionModel_cache_maps.bin_op (build/cythonized/sage/structure/
coerce.c:10861)()
I threw this into a sage notebook with the view to showing my students the
virtues of normal subgroups...
Andrew
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