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Divam Kumar posted an Question
December 03, 2020 • 20:12 pm 30 points
  • IIT JAM
  • Mathematics (MA)

70 consider a group u(15) = {1, 2, 4, 7, 8, 11, 13, 14) under multiplication modulo 15. then order of the element 7 is (a) 3 (b) 4 (c) 5 (d) none of these 71 le

70 Consider a group U(15) = {1, 2, 4, 7, 8, 11, 13, 14) under multiplication modulo 15. Then order of the element 7 is (A) 3 (B) 4 (C) 5 (D) None of these 71 Let G be a group and G be the commutator subgroup of G. Then choose the correct statement (A) G is a normal subgroup of G. (B) G/G is Abelian. 1s a normal subgroup of G such that G/M is Abelian, then G CM, (D) All of these 2Let P, (1) be a vector space of all polynomials of degree n. Then (A) dim P, (1)= n-1 (B) dim P, (1) = n (C) dim P, (1) = n +1 (D) None of these 73, Let GS,, n è 5; then G) for k= 1, 2, 3, ..Contains every . of S,. (A) 3-cycle (B) 4-cycle (C) 5-cycle (D) None of these Which of the statements is correct 2 (A) G is solvable G) = (e) for some integer k. (B) G= (e) for some integer k > Gis solvable. (C) Both (A) and (B) (D) None of these 3)-MAT(6) (16)

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