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Math Help - Determine the quotient...

  1. #1
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    Determine the quotient...

    I have a normal subgroup K = \{id, (12)(34), (13)(24),(14)(23)\} and G=S_4.

    How do I find the quotient K / G ?
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  2. #2
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    Quote Originally Posted by MichaelMath View Post
    I have a normal subgroup K = \{id, (12)(34), (13)(24),(14)(23)\} and G=S_4.

    How do I find the quotient K / G ?
    You surely meant G/K= the quotient group of G by K. Begin by calculating the quotient's order using Lagrange's Theorem, and then since there're only two groups up to isomorphism of that order, it'll be easier to check which one this quotient fits in.

    Tonio
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