(3) If H={0,6,12,18}, show that (H,+24) is a cyclic subgroupof (Z24,+24). Alsolist the elements of each coset of H in Z24.

Answered: (3) If H={0,6,12,18}, show that (H,+24)…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.5: Normal Subgroups

Problem 8E: Show that every subgroup of an abelian group is normal.

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(3) If H={0,6,12,18}, show that (H,+24) is a cyclic subgroupof (Z4,+24). Also list the elements of each coset of H in Z24.