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If (G, ·) is a group, let (M(G),+, ◦) be the set of all mappings from G to G, with pointwise addition and with the composition of mappings as multiplication: if g ∈ G and α, β ∈M(G), by definition g(α+ β) = (gα) · (gβ) and g(α ◦ β) = (gα)β . Then (M(G),+, ◦) is a near-ring. Let (InnG, ◦) and (AutG, ◦) be the groups of all inner and all automorphisms of (G,… (More)