Q:-2. suppose that o(a)=24, then a generator for < a21 >n< al0> are (a) a,a18 b) a5,a7 (c) a,a2 (d) a,als q:-3. let g = gl(2, r) and h {a e g| det(a) =3*|k = z}

Q:-2. Suppose that o(a)=24, then a generator for < a21 >n< al0> are (a) a,a18 b) a5,a7 (c) a,a2 (d) a,als Q:-3. Let G = GL(2, R) and H {A E G| det(A) =3*|k = Z}, then (a) H is abelian subgroup b) His cyclic subgroup (c) His normal subgroup (d) None of these Q:-4. In the symmetric group S, of degreen, n >2 the set of all 3- cycles generates a subgroup of order (a) 3 (b) 3n (d) n!