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Math Help - Dihedral Groups

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    Dihedral Groups

    In the dihedral group D4, what are the permutations? Is there a permutation that canít be a rigid motion? explain.
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by jjbrian View Post
    In the dihedral group D4, what are the permutations?
    There are eight of them. Start counting. The usual representation in terms of generators and relations is \sigma^2=e,\tau^{4}=e


    Is there a permutation that canít be a rigid motion? explain.
    This is more of an interpretation of the group (how it acts on a square) then what it really is.
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