3. Let G1 and G2 be groups with identity elements e1
and e2, respectively. a. Prove...
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3. Let G1 and G2 be groups with identity elements e1and e2, respectively. a. Prove that G1×{e2} is a normal subgroup ofG1×G2. (You do not need to prove that G1×{e2} is a subgroup, sincethis follows from a previous homework problem, just that it isnormal in G1 ×G2.) b. Prove that (G1 ×G2)/(G1 ×{e2}) ?= G2
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