Questions tagged [group of order]

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Maria Maria Tue Aug 13 2024 | 6 answers 1213

Which group of order must be abelian?

Could you please elaborate on which group of order necessarily exhibits the abelian property? It's intriguing to understand the mathematical conditions under which a group becomes commutative, meaning the order of multiplication does not affect the result. Are there specific criteria, such as the number of elements or certain algebraic structures, that guarantee a group will be abelian? I'm particularly interested in learning about the necessary conditions that make a group abide by the commutative law.

Which group of order must be abelian?

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