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Math Help - May I have a question?

  1. #1
    Member
    Joined
    Nov 2012
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    London
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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!
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  2. #2
    Super Member
    Joined
    Dec 2012
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    Athens, OH, USA
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    Re: May I have a question?

    Hi,
    I hope the attachment answers most of your questions.

    May I have a question?-mhfgroups23.png
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