Arindam Chaki posted an Question
October 05, 2021 • 16:07 pm 30 points
  • IIT JAM
  • Mathematics (MA)

42. suppose f, and f are distinct reflections in a dihedral group d such thatff, = f,f prove that f f r|80 43. let r be any fixed rotation and f any fixed refle

42. Suppose F, and F are distinct reflections in a dihedral group D such thatFF, = F,F Prove that F F R|80 43. Let R be any fixed rotation and F any fixed reflection in a dihedral group. Prove that R'FR = F. 44.Let R be any fixed rotation and F any fixed reflection in a dihedral group. Prove that FR'F = RA Why does this imply that D. is non-Abelian?

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