# Representing products as disjoint cycles

#### duki

1. Homework Statement

Represent the following products as products of disjoint cycle. find the order of each product.

2. Homework Equations

a) (1234)(567)(261)(47)
b) (12345)(67)(1357)(163)
c) (14)(123)(45)(14)

3. The Attempt at a Solution

I've only attempted a) because I'm not sure if I'm doing it right. Here's what I got:

a) (163742)(5164)

because,
1->2, 2->6
2->3 so no need to include it
3->4, 4->7
4->1, 1->2
5->6, 6->1
6->7, 7->4
Is this even close?

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#### lanedance

Homework Helper
Re: Permutations

(1234) on the set should look like
|1-2-3-4|
|2-1-3-4| position 1->2
|2-3-1-4| position 2->3
|2-3-4-1| position 3->4

so (1234) is the permutation
|1-2-3-4|
|2-3-4-1|

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