## Question

###### • You should be able to prove the following statements: - If y : G →...

• You should be able to prove the following statements: - If y : G → J be a group homomorphism andrEG has finite order, then ord(r) is divisible by ord(y(a)). If p: G → J is a group isomorphism and r e G, then r has infinite order if and only if ø(r) has infinite order. If G, J and G2 J2, then G1 x G2 J x J. If G is a cyclic group and K is subgroup of G, then K 4G and the quotient group G/K is also cyclic.

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