Hello,(adsbygoogle = window.adsbygoogle || []).push({});

I am a little confused about an example. By definition,

A cycle of m symbols CAN be written as a product of m - 1 transpositions.

(x1 x2 x3 ... xn) = (x1 x2)(x1 x3)...(x1 xn)

Now

Express the permutation (23) on S = {1,2,3,4,5} as a product of transpositions.

(23) = (12) o (23) o (13) = (12) o (13) o (12)

I can see how it works. But based on the def. I don't see how they came up with the answer. I know this is simple but I don't see it. What the hey?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Permutations and Transpositions

Loading...

Similar Threads - Permutations Transpositions | Date |
---|---|

I Permutation group and character table | Mar 29, 2017 |

Permutation as a Product of Transposition | Sep 8, 2010 |

Clearer Understanding of Permutation and Transpositions | Oct 5, 2009 |

Adjacent Transpositions of Permutations. | Nov 3, 2008 |

Permutations and Transpositions problem help | Dec 5, 2004 |

**Physics Forums - The Fusion of Science and Community**