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Discussion :: Algebra Problems

  1.  Some group (G, 0) is known to be abelian. Then which one of the following is TRUE for G ?

    2. A.

    G is of finite order
    B.

    g = g² for every g ∈ G
    C.

    g = g-1 for every g ∈ G
    D.

    (g o h)² = g²o h² for every g,h ∈ G

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    Answer : Option D

    Explanation :

    (g o h)² = g²o h² for every g,h ∈ G

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