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Math Help - Solve

  1. #1
    Junior Member mathemanyak's Avatar
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    Solve

    Let G={Z4*Z6,+}
    (g,h)+(k,l)=(g,k+h,l)
    H=<(0,1)>
    Find G/H?
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  2. #2
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    Quote Originally Posted by mathemanyak View Post
    Let G={Z4*Z6,+}
    (g,h)+(k,l)=(g,k+h,l)
    H=<(0,1)>
    Find G/H?
    Let G = \mathbb{Z}_4\times \mathbb{Z}_6 and H = \left< (0,1) \right> = \{ (0,0),(0,1),(0,2),(0,3),(0,4),(0,5)\}.

    Now, G/H = \{ H,(1,0)+H,(2,0)+H,(3,0)+H,(4,0)+H,(5,0)+H\}.
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