Antima Jangid posted an Question
January 09, 2022 • 17:03 pm 30 points
  • IIT JAM
  • Mathematics (MA)

63. let g=gl, (r) and let h be the (normal) subgroup of all matrices with positive determinant. identify the quotient group g/h (nbhm 2013)

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    Piyush pachauri Best Answer

    It is multiplicative group of order 2. {-1,1} Define homomorphism from GL(n,R) to {-1,1} Send positive determinant matrix to 1. Check this is an onto homomorphism.

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