Cryptocurrency Q&A Can an abelian group be simple?

Can an abelian group be simple?

Eleonora Eleonora Wed Aug 14 2024 | 5 answers 1007
I'm curious, can an abelian group ever be classified as simple? I understand that a simple group is one that has no non-trivial normal subgroups, but abelian groups are known for their commutative property. Does this characteristic somehow prevent them from being simple, or are there instances where an abelian group can indeed be considered simple? I'm interested in understanding the mathematical principles behind this question and how they apply to the world of algebra and group theory. Can an abelian group be simple?

5 answers

Alessandra Alessandra Fri Aug 16 2024
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Maria Maria Fri Aug 16 2024
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benjamin_doe_philosopher benjamin_doe_philosopher Fri Aug 16 2024
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KatanaSword KatanaSword Fri Aug 16 2024
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SolitudeSerenade SolitudeSerenade Thu Aug 15 2024
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