3. Let Dn (n ≥ 3) be the dihedral group of order 2n. (i) Show that D10 ≈ D5 × Z2 by constructing an explicit isomorphism between the two groups. (ii) What are the centers of D5 and D10? (iii) Identify the quotient groups D5/Z(D5) and D₁0/Z(D₁0) in terms of known groups.

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