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.
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.
Advanced Engineering Mathematics
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
Transcribed Image Text: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.
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