If G is a group such that (ab)^n=(a)^n(b)^n for three consecutive integers n for all a,b in G show

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(ab)^i=a^i.b^i for three consecutive integers of i, then show G is abelian.(ab)^i=a^i.b^i for three consecutive integers of i, then show G is abelian.
Show that G is abelian if for all a, b in G, (ab) ^n=a^nb^n for three consecutive natural numbers.Show that G is abelian if for all a, b in G, (ab) ^n=a^nb^n for three consecutive natural numbers.
(ab)^i = a^i*b^i for 3 consecutive integers G is abelian. |(ab)^i = a^i*b^i for 3 consecutive integers G is abelian. |
If (ab)^i=a^i b^i ∀ a,b∈G for three consecutive integers i, then G is abelian.If (ab)^i=a^i b^i ∀ a,b∈G for three consecutive integers i, then G is abelian.
if G Is a group such that (ab)^n=a^n.b^n for three consecutive integers n for all a,b in G, Show thaif G Is a group such that (ab)^n=a^n.b^n for three consecutive integers n for all a,b in G, Show tha
19. If for three consecutive natural numbers (ab)^n=a^nb^n then G is abelian19. If for three consecutive natural numbers (ab)^n=a^nb^n then G is abelian
Group Theory (Group) Paper 6 || Semester 3 Lacture 11Group Theory (Group) Paper 6 || Semester 3 Lacture 11
in a group G (ab)^n=a^nb^n for there consecutive integers then G is abelianin a group G (ab)^n=a^nb^n for there consecutive integers then G is abelian