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Math Help - using the Lagrange Theorem

  1. #1
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    using the Lagrange Theorem

    Suppose G is a group of order 48 and H is a subgroup of order 12, then how many distant right cosets of H are there in G?

    I thought it was 6. Am I right? If not can u show me which why to go?
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  2. #2
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    Quote Originally Posted by tigergirl View Post
    Suppose G is a group of order 48 and H is a subgroup of order 12, then how many distant right cosets of H are there in G?

    I thought it was 6. Am I right? If not can u show me which why to go?


    Lagrange's theorem: if G is a finite group and H\leq G then |G|=[G:H]\cdot |H| .

    Now you can see your mistake.

    Tonio
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