Question: Let G be a group. For a, b E G, define the relation a ~ b if there exists an x E G such that

Let G be a group. For a, b E G, definethe relation a ~ b if there exists an x E G

Let G be a group. For a, b E G, define the relation a ~ b if there exists an x E G such that b = x lax. Prove that this is an equivalence relation on G.Find the equivalence classes in D3 under this relation. Conrm that they are a partition of D3. Repeat for D4

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