In Exercises 5 and 6, give the order of the element in the factor group. 5 3+ (8) in Z24/ (8) 6 (4,3)+((1,8)) in Z Z₁1/(

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In Exercises 5 And 6 Give The Order Of The Element In The Factor Group 5 3 8 In Z24 8 6 4 3 1 8 In Z Z 1 1 (17.78 KiB) Viewed 61 times

In Exercises 5 and 6, give the order of the element in the factor group. 5 3+ (8) in Z24/ (8) 6 (4,3)+((1,8)) in Z Z₁1/((1,8)) 7 A subgroup H is conjugate to a subgroup K of a group G if there exists an inner automorphism i, of G such that ig[H] = K. Prove that conjugacy is an equivalence relation on the collection of subgroups of G. 8 Prove that an intersection of normal subgroups of G is again a normal subgroup of G.