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Divam Kumar posted an Question
December 03, 2020 • 20:42 pm 30 points
  • IIT JAM
  • Mathematics (MA)

70. consider a group u(15)= {1, 2, *; ' soup u(15) = {1, 2, 4, 7, 8, 11, 13, 14} under multiplication modulo 15. then order of the element 7 15 (a) 3 (b) 4 (c)

70. Consider a group U(15)= {1, 2, *; ' SOup U(15) = {1, 2, 4, 7, 8, 11, 13, 14} under multiplication modulo 15. Then order of the element 7 15 (A) 3 (B) 4 (C) 5 (D) None of these 71. Let G be a grou Eroup 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. T M is a normal subgroup of G such that G/M is Abelian, then g M (D) All of these 2. Let 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 G = S,, n 2 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 74. Which of the statements is correct ? (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 (16) XE(H-3)-MAT(6)

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