Explore BrainMass

Explore BrainMass

    Groups and Integers

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Let m be the smallest positive integer such that @^m=E for all @eS_n. Show that m=lcm(2,3,4,5,...,n).

    © BrainMass Inc. brainmass.com February 24, 2021, 2:20 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/groups-integers-14144

    Solution Preview

    E should mean 1 in S_n.
    Proof: We know each permutation can be expressed as a product of some non-intersection cycles, where the length of the cycle is less than or equal to ...

    Solution Summary

    A proof involving groups and integers is provided. the proof is concise.

    $2.19

    ADVERTISEMENT