F.M:45 – 20 Answer the following questions:1) Show that the set D of all


F.M:45 – 20
Answer the following questions:1) Show that the set D of all integers forms a commutative groupwith respect to the composition * defined by a*b = a + b – 1 for alla, b in D2) Prove that a group G is abelian if and only if (ab) = a-1b-1for all a, b in G3) Prove that (Q, *) is not cyclic group. Qis set of rational number4) Show that (2) is a cyclic group. Find the order of (3) and (5)​


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