If (ab)^i=a^i b^i ∀ a,b∈G for three consecutive integers i, then G is abelian.

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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.
(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. |
Theorem 7| if (ab)^i= a^i b^i for three consecutive integers then G is Abelian| | B.Sc, JAM, CSIR Theorem 7| if (ab)^i= a^i b^i for three consecutive integers then G is Abelian| | B.Sc, JAM, CSIR
If (ab)^i=a^ib^i for 3 consecutive integers i, then prove that the group is abelian. #abeliangroup If (ab)^i=a^ib^i for 3 consecutive integers i, then prove that the group is abelian. #abeliangroup
19. If for three consecutive natural numbers (ab)^n=a^nb^n then G is abelian 19. If for three consecutive natural numbers (ab)^n=a^nb^n then G is abelian
If (ab)^n=a^n b^n for three consective integers n where a,b €G then G is abelian||theorem||group T If (ab)^n=a^n b^n for three consective integers n where a,b €G then G is abelian||theorem||group T
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.
Group Theory (Group) Paper 6 || Semester 3 Lacture 11 Group Theory (Group) Paper 6 || Semester 3 Lacture 11