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Work out the decomposition in disjoint cycles for the following.

a) (14)(12345) = (15)(234)

b) (12)(2345) = (12345)

c) (12)(23)(34) = (14)(24)

d) (13)(1234)(13) = (143)(2)

Can anyone tell me if the parts a) and b) are correct? And can anyone please help me with part c) and d)? I get confuse on the second cycle.

Thank you

user1523
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    They can't both be correct: one uses right-to-left composition, whereas the other uses left-to-right composition. – Rebecca J. Stones Feb 13 '14 at 01:40
  • Usually it is meant from right to left, whence a) were correct (in the first edit), and b) becomes $(12345)$. – Berci Feb 13 '14 at 01:43

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