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Two groups are isomorphic if and only if __________ is existed between them.(a) homomorphism(b) endomorphism(c) isomorphism(d) associationI had been asked this question in quiz.My question is from Groups topic in portion Groups of Discrete Mathematics

Answer»

The CORRECT option is (C) isomorphism

Best explanation: Two GROUPS M and K are isomorphic (M ~= K) if and only if there EXISTS an isomorphism between them. An isomorphism f:M -> K between two groups M and K is a mapping which satisfies two conditions: 1) f is a bijection and 2) for every x,y belongs to M, we have f(x*My) = f(x) * Kf(y).



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