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    Product of the disjoint cycles and permutation groups

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    Modern Algebra
    Group Theory (LXXXIV)
    Permutation Groups
    The Order of a Permutation
    The Order of a Cycle

    (a) What is the order of an n-cycle?
    (b) What is the order of the product of the disjoint cycles of lengths m1 , m2 , ... , mk ?
    (c) How do you find the order of a given permutation?

    The fully formatted problem is in the attached file.

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    https://brainmass.com/math/group-theory/product-of-the-disjoint-cycles-and-permutation-groups-87728

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    Solution Summary

    This problem is for finding the order of an n-cycle, the order of the product of the disjoint cycles and order of a given permutation.
    The solution is detailed and well presented.

    $2.49

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