Permutation group: (1234)=(12)(13)(14)
How do I show in sage that
(1234)=(12)(13)(14)
I tried:tried make use of:
PermutationGroup([[(1,2)]]) PermutationGroup([1,2]) * PermutationGroup([[(1,3)]]) * PermutationGroup([[(1,4)]])
but sage says:
For implementing multiplication, provide the method '_mul_' for Permutation Group with generators [(1,2)] resp. Permutation Group with generators [(1,3)]
But (12) is not a group actually - but permuation. So I tried:
Permutation([[(1,2)]]) * Permutation([[(1,3)]]) * Permutation([[(1,4)]])
PermutationGroup([1,3])
but it gives:doesn't do what is needed.
TypeError: unsupported operand type(s) for -: 'list' and 'int'