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Let Z={1,2,3,4). Let A be the following group of permutations on Z, {(1),(23),(24),(34), (234), (243)} Prove that the subgroup B={(1),(234), (243)} is normal. Give

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Let Z={1,2,3,4). Let A be the following group of permutations on Z, {(1),(23),(24),(34), (234), (243)} Prove that the subgroup B={(1),(234), (243)} is normal. Give the operation table for the quotient group A/B.

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