#04 trick of abstarct algebra | If in a group G , a^5=e ,aba^-1 =b^2 , then order of b is

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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
06 G be a group of identity element e and a,b∈G be such that a^5=e & aba^(-1)=b^2 then O(b) is 06 G be a group of identity element e and a,b∈G be such that a^5=e & aba^(-1)=b^2 then O(b) is
Group Theory 7| If in the group G , a^5=e, aba^-1 = b^2 Find O(b) #group #algebra Group Theory 7| If in the group G , a^5=e, aba^-1 = b^2 Find O(b) #group #algebra
G is Abelian if (ab)^2 = a^2 b^2 || Imp Qus || Group Theory || Bsc Msc Math G is Abelian if (ab)^2 = a^2 b^2 || Imp Qus || Group Theory || Bsc Msc Math
#05 trick of abstract algbra | find inverse using binary operation in abstarct algebra #05 trick of abstract algbra | find inverse using binary operation in abstarct algebra
Group Theory - Problem 1 Group Theory - Problem 1
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
01 group contain elements a and b such that O(a)=4, O(b)=2 and a^3 b=ba then O(ab) is | lt garde 01 group contain elements a and b such that O(a)=4, O(b)=2 and a^3 b=ba then O(ab) is | lt garde