IIT JAM
Gokul Asked a Question
November 25, 2020 9:07 ampts 30 pts
  • IIT JAM
  • Mathematics (MA)

The number of normal subgroups of order 9 in a group 45 is (a) 9 (b) 1 (c)3 (d) 5 59 the number of normal subgroups of order 13 in a group 52 is - (a) 13 (b) 1

The number of normal subgroups of order 9 in a group 45 is (a) 9 (b) 1 (c)3 (d) 5 59 The number of normal subgroups of order 13 in a group 52 is - (a) 13 (b) 1 (c) 3 (d) 4
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  • Piyush pachauri
    Both Statements are of sylow theorem.
    Likes(0) Reply(1)
    Gokul
    how is it applied in the qn
  • Piyush pachauri
    There is a unique subgroup of order 13 in group of order 52.
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  • Piyush pachauri thankyou
    Group of order 45 is always abellian. So unique subgroup of order 9 So Ans is 1.
    Likes(1) Reply(2)
    Gokul
    ok,2 nd qn?
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