Akash Babu posted an Question
July 08, 2022 • 19:24 pm 30 points
  • CSIR NET
  • Mathematical Sciences

30. let g denote the group of all 2 x 2 invertible matrices with entries from r. let h, = {a e g: det(a) = 1) and h, = {a e g:a is upper triangular) consider th

30. Let G denote the group of all 2 x 2 invertible matrices with entries from R. Let H, = {A e G: det(A) = 1) and H, = {A e G:A is upper triangular) Consider the following statements: P:H, is a normal subgroup of G a:H,is a normal subgroup of G. Then Both P and Q are true B) P is true and Q is false (A) (C) P is false and Q is true (D) Both P and are false

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