Question: Let G = A B. Show: It is A = B if and only if there is a subgroup D of G such that G

Let G = A B. Show: It is A = B if and only if there is a subgroup D of G such that G = AD = DB and A D = B D = 1 applies.

(= means isomorphic)

Please try to explain it to me simply and in detail, because i would really like to understand it. Thank you in advance!!

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