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Question regarding the respect to multiplication

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Let E designate the group of all the even integers, with respect to addition. Prove that Z is isomorphic to E.

Let G be the group {10n : n∈Z} with respect to multiplication. Prove that G is isomorphic to Z. (The operation of Z is addition)

Reference no: EM131055325

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Question regarding the respect to multiplication : Let E designate the group of all the even integers, with respect to addition. Prove that Z is isomorphic to E. Let G be the group {10n : n∈Z} with respect to multiplication. Prove that G is isomorphic to Z. (The operation of Z is addition)
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