i need the answer quickly 3. Find all Abelian groups (up to isomorphism) of order 100. From these isomorphism classesdetermine those classes that have elements of order 25. Does every Abelian group of order100 has a cyclic subgroup of order 10? Justify your answer.

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Answered: 3. Find all Abelian groups (up to…

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 14E: Suppose that the abelian group G can be written as the direct sum G=C22C3C3, where Cn is a cyclic...

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3. Find all Abelian groups (up to isomorphism) of order 100. From these isomorphism classes determine those classes that have elements of order 25. Does every Abelian group of order 100 has a cyclic subgroup of order 10? Justify your answer.