Two groups are isomorphic if and only if __________ is existed between them.
A. homomorphism
B. endomorphism
C. isomorphism
D. association
Answer:C
Two groups are isomorphic if and only if __________ is existed between them.
A. homomorphism B. endomorphism C. isomorphism D. association
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).