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Is Z3 Z5 isomorphic to Z15 Why

Chapter 8, Problem 9E

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QUESTION:

Is \(Z_3 \oplus Z_5\) isomorphic to \(Z_{15}\)? Why?

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QUESTION:

Is \(Z_3 \oplus Z_5\) isomorphic to \(Z_{15}\)? Why?

ANSWER:

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Isomorphic Groups: The Isomorphic Groups can be defined as groups whose elements of the one of the group are having direct one to one relation with the elements of the main group.

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