Hi all, I was just playing around with permutations, when something
puzzled me:
sage: G = SymmetricGroup(4)
sage: H = G.normal_subgroups()[1]
sage: H
Permutation Group with generators [(1,3)(2,4), (1,4)(2,3)]
sage: G.quotient_group(H)
Permutation Group with generators [(1,2)(3,6)(4,5), (1,3,5)(2,4,6)
Where do the 5 and 6 suddenly come from? In my understanding the
elements of the quotient group G/H are classes of elements of G, which
operates on {1, 2, 3, 4}.
Also, there is a method of G called "quotient", which raises and
NotImplementedError, which is a little confusing, given an
implementation of the quotient group is actually available.
Running Sage 4.1 on Arch Linux 64 bit.
--
Robert Schwarz <m...@rschwarz.net>
Get my public key at http://rschwarz.net/key.asc
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