Questions tagged [non-abelian group]

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Chiara Chiara Tue Sep 17 2024 | 6 answers 1593

What group is not abelian?

Could you please elaborate on the concept of an abelian group and then provide an example of a group that does not possess the properties that define an abelian group? I'm particularly interested in understanding the key characteristics that distinguish an abelian group from a non-abelian group, and how this distinction affects their mathematical properties and applications.

What group is not abelian?
KatanaSharpened KatanaSharpened Sat Aug 24 2024 | 6 answers 1442

What is the smallest non-Abelian group?

Could you please elaborate on what the smallest non-Abelian group is? I'm curious to understand the properties and characteristics that make it unique from Abelian groups. Additionally, how does it differ in structure and operation from larger non-Abelian groups? It would be helpful if you could provide an example to illustrate your explanation.

What is the smallest non-Abelian group?

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