Questions tagged [group z]

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KimonoGlitter KimonoGlitter Tue Aug 13 2024 | 6 answers 1093

Is the group Z abelian?

Could you please clarify for me if the group Z, also known as the integers under addition, possesses the property of being abelian? I understand that in an abelian group, the order of elements in a binary operation does not affect the result, so is it true that for any two integers a and b in Z, the sum a + b equals b + a? It would be helpful if you could elaborate on the concept of an abelian group and how it applies to the specific case of Z.

Is the group Z abelian?

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