Thanu Dharshani posted an Question
April 22, 2021 • 07:04 am 30 points
  • IIT JAM
  • Mathematics (MA)

Let g be a group with identity e. let h be an abelian non-trivial proper subgroup of g with the property that h n ghg = {e} for all g e h. if k {ge g: gh = hg f

Let G be a group with identity e. Let H be an abelian non-trivial proper subgroup of G with the property that H n gHg = {e} for all g e H. If K {gE G: gh = hg for all he H}), then (a) K is a proper subgroup of H (b) H is a proper subgroup of K (c) K = H (d) there exists no abelian subgroup LCG such that K is a proper subgroup of L lne

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