If (G, .) is a group such that (ab)- 1 = b-1 a-1, ∀ a, b ∈ G, then G is a/an

If (G, .) is a group such that (ab)- 1 = b-1 a-1, ∀

1.	If (G, .) is a group such that (ab)- 1 = b-1 a-1, ∀ a, b ∈ G, then G is a/an
A.	commutative semi group
B.	abelian group
C.	non-abelian group
D.	None of these
Answer» C. non-abelian group

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&nbsp;If&nbsp;(G,&nbsp;.)&nbsp;is&nbsp;a&nbsp;group&nbsp;such&nbsp;that&nbsp;(ab)-&nbsp;1&nbsp;=&nbsp;b-1&nbsp;a-1,&nbsp;&forall;&nbsp;a,&nbsp;b&nbsp;&isin;&nbsp;G,&nbsp;then&nbsp;G&nbsp;is&nbsp;a/an

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If (G, .) is a group such that (ab)- 1 = b-1 a-1, ∀ a, b ∈ G, then G is a/an