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Sourav posted an Question
August 03, 2020 • 17:55 pm 30 points
  • IIT JAM
  • Mathematics (MA)

27. let g be the group of all 2x2 matrices with real entries with respect to matrix 0 1na and multiplication. let g, be the smallest subgroup of g containing10

27. Let G be the group of all 2x2 matrices with real entries with respect to matrix 0 1na and multiplication. Let G, be the smallest subgroup of G containing10 and0 -1nd -1 G be the smallest subgroup of G containing and Determine all elements of G, and find their orders. Determine all elements of G, and find their orders. Does there exist a one-to-one homomorphism from G, onto G,? Justify. (15)

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