Discrete Mathematics: Group Theory: Show that In a Group (G, *): (ab)^2 =a^2b^2 iff G is an Abelian

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Show that a group 𝐺 is an abelian iff (ab)^2=a^2b^2 ,for all a,b∈𝐺 Show that a group 𝐺 is an abelian iff (ab)^2=a^2b^2 ,for all a,b∈𝐺
If in a group G * a ^ 5 = e aba^-1= b^2 for a, b belongs to G then show that o(b) = 31 If in a group G * a ^ 5 = e aba^-1= b^2 for a, b belongs to G then show that o(b) = 31
Discrete Mathematics | Algebraic Structures | G is an abelian group if and only if (a*b)^2=a^2 * b^2 Discrete Mathematics | Algebraic Structures | G is an abelian group if and only if (a*b)^2=a^2 * b^2
Show that a group G is abelian if and only if (ab)^2=a^2b^2 for all a,b€G Show that a group G is abelian if and only if (ab)^2=a^2b^2 for all a,b€G
Lecture 20 - If (a*b)^2 = a^2 * b^2 then G is abelian group. Lecture 20 - If (a*b)^2 = a^2 * b^2 then G is abelian group.
If a,b are two elements of group G then show that will be (ab)^2=a^2b^2 iff G is abelian. #addmaths If a,b are two elements of group G then show that will be (ab)^2=a^2b^2 iff G is abelian. #addmaths
Prove that a group G is abelian if and only if (ab)^2 = a^2 b^2 for all a,b ∈ G | NERDY CREW Prove that a group G is abelian if and only if (ab)^2 = a^2 b^2 for all a,b ∈ G | NERDY CREW
17. Show that a group is abelian if and only if (ab)^2=a^2b^2 for all a,b in G 17. Show that a group is abelian if and only if (ab)^2=a^2b^2 for all a,b in G