IIT JAM
Prafull kumar mehta Mehta Asked a Question
August 12, 2020 10:31 pmpts 30 pts
  • IIT JAM
  • Mathematics (MA)

Q.35 let g be a group of order 20 in which the conjugacy classes have sizes 1,4,5,5, 5. then which of the following is/are true? (a) g contains a normal subgrou

Q.35 Let G be a group of order 20 in which the conjugacy classes have sizes 1,4,5,5, 5. Then which of the following is/are TRUE? (A) G contains a normal subgroup of order 5 (B) G contains a non-normal subgroup of order 5 (C) G contains a subgroup of order 10 (D) G contains a normal subgroup of order 4
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  • Pranav kumar Best Answer
    Option a and c are correct.
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    Pranav kumar
    Use sylow theorem.
  • Anuj s. thankyou
    here is your solution any doubt, plz ask , we will discuss
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