Shivani Keshri posted an Question
June 06, 2021 • 22:36 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Solve 3,4,5 from the attachmeent

3. Let G be a finite group and H be a normal subgroup of Gof forder 2. Then the order of the centre of G is (a) (b) 1 (c) An even integer 2 2 (d) And odd integer 23 [2008:6 Marks The number of all subgroups of the group (Z60 +) of integers modulo 60 is (a) 2 (b) 10 (c) 12 (d) 60 (2009: 6 Marks] 5. Let p be a prime number. Let G be the group of all 2x2 matrices over Z, with determinant 1 under matrix multiplication. Then the order of Gis (a) (P-1)p(p +1) (b) p(p -1) n7

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