3. Let G1 and G2 be groups with identity elements e1 and e2, respectively. a. Prove...

3. Let G1 and G2 be groups with identity elements e1 and e2, respectively. a. Prove that G1×{e2} is a normal subgroup of G1×G2. (You do not need to prove that G1×{e2} is a subgroup, since this follows from a previous homework problem, just that it is normal in G1 ×G2.) b. Prove that (G1 ×G2)/(G1 ×{e2}) ∼= G2

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Colby Messinger answered 2 years ago

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3. Let G1 and G2 be groups with identity elements e1 and e2, respectively. a. Prove...

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