Answered: Show, by example, that if the order of…

Show, by example, that if the order of a finite Abelian group is divisibleby 4, the group need not have a cyclic subgroup of order 4.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.8: Some Results On Finite Abelian Groups (optional)

Problem 12E

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Show, by example, that if the order of a finite Abelian group is divisible
by 4, the group need not have a cyclic subgroup of order 4.

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