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- February 9th 2014, 04:22 PM #1

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## May I have a question?

Hi all, I've been having difficulty with the following question.

Let P be a regular pentagon. Let R be the rotation of P by 72degrees anticlockwise and let F be the reflection of P in the vertical line of symmetry. Represent R and F by permutations and hence calculate: F R^2 F R F^3 R^3 F, expressing this first as a permutation and then as a symmetry of P.

I think I've correctly worked out R as the cycle (15432) and F = (25)(34). I've written these as permutations however, I don't understand how to do the calculation asked for and what it means by 'expressing as a symmetry of P'.

Any ideas would be much appreciated. Thanks in advance!

- February 9th 2014, 07:47 PM #2

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