Answered: Let (Z12, +12) be a group , if we take…

Let (Z12, +12) be a group , if we take {0,4,8} for the set H then ({0,4,6}, +12) is evidently a subgroup of (Z12,+12), find the left coset of H in Z12

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.4: Cosets Of A Subgroup

Problem 11E: Let be a group of order 24. If is a subgroup of , what are all the possible orders of ?

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Question

Example:
Let (Z12, +12) be a group , if we take {0,4,8} for the set H then
({0,4,6},+12) is evidently a subgroup of (Z12,+12), find the
left coset of H in Z12

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