4. Let a be an element of a group. If |a| = 10, what are the possibilities for la? 5. List all the elements of Z100 that have order 10.
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- Find the order of each of the following elements in the multiplicative group of units . for for for forLet a,b,c, and d be elements of a group G. Find an expression for (abcd)1 in terms of a1,b1,c1, and d1.Let n be appositive integer, n1. Prove by induction that the set of transpositions (1,2),(1,3),...,(1,n) generates the entire group Sn.