Let G(Z/18Z, +) be a cyclic group of order 18.(1) Find a subgroup H of G with |H= 3(2) What are the elements of G/H?(3) Find a familiar group that is isomorphic to G/H.

The group G = (Z/18Z, +) be a cyclic group of order 18 so, the group G is similar to Z18. Part (a):…

Answered: Let G (Z/18Z, +) be a cyclic group of…

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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Let G (Z/18Z, +) be a cyclic group of order 18. (1) Find a subgroup H of G with |H= 3 (2) What are the elements of G/H? (3) Find a familiar group that is isomorphic to G/H.