★ Key Takeaways
If the Commutative Law Holds in a Group, Then Such a Group Is Called an Abelian Group or Commutative Group. Thus the Group (G, ∗) Is Said to Be an Abelian Group or Commutative Group If A∗B=B∗A, ∀A, B∈G. a Group Which Is Not Abelian Is Called a Non-Abelian Group.
Wondering about How to Know If a Group Is Abelian? Read comprehensive breakdown in this breakdown.
If the Commutative Law Holds in a Group, Then Such a Group Is Called an Abelian Group or Commutative Group. Thus the Group (G, ∗) Is Said to Be an Abelian Group or Commutative Group If A∗B=B∗A, ∀A, B∈G. a Group Which Is Not Abelian Is Called a Non-Abelian Group.
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