Cryptocurrency Q&A Are all abelian groups free?

Are all abelian groups free?

BitcoinBaroness BitcoinBaroness Tue Aug 13 2024 | 6 answers 1259
Could you please clarify for me if it is accurate to state that all abelian groups are inherently free? It's a question that has been lingering in my mind, as I understand that abelian groups possess a certain level of commutativity, but I'm unsure if this automatically translates to them being free groups. Could you elaborate on the relationship between these two concepts and whether there are any exceptions to this potential rule? Are all abelian groups free?

6 answers

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