(1) If d is a divisor of G, where G is a cyclic group. Then show...

 

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(1) If d is a divisor of G, where G is a cyclic group. Then show that there (8) (2) Show that H = {2n: ne Z) is a normal subgroup of Z. Also compute the exist a unique subgroup of G of order d. index and (8) (3) Compute the center of S3 and D4. (4) Define an (7) isomorphism from Z to Z. Justify your answer. (7) (1) If d is a divisor of G, where G is a cyclic group. Then show that there (8) (2) Show that H = {2n: ne Z) is a normal subgroup of Z. Also compute the exist a unique subgroup of G of order d. index and (8) (3) Compute the center of S3 and D4. (4) Define an (7) isomorphism from Z to Z. Justify your answer. (7)