Akash Babu posted an Question
July 13, 2022 • 11:10 am 30 points
  • CSIR NET
  • Mathematical Sciences

12. let g denote the group of all 2 * 2 real matrices with non-zero determiant, lct h denotes the subgroup of all matices with dctermminant 1. let g/h denote th

12. Let G denote the group of all 2 * 2 real matrices with non-zero determiant, Lct H denotes the subgroup of all matices with dctermminant 1. Let G/H denote the set ol left coscts of H. Then (A) H is not a normal subgroup (B) G'H is isoimorphic to the real numbers under addition. (C) G'H is isomorphic to the non-zero real numbers under nultuplication. (D) GH is a linite yroup.

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