newton5460 newton5460
  • 25-05-2023
  • Mathematics
contestada

Let (G, ◊) be a group and x ∈ G. Suppose His a subgroup of G that contains x. Which of the following must H also contain? [5 marks]

x*, the inverse of x
The identity element e of G
All elements x ◊ y for y ∈ G
All "powers" x ◊ x, x ◊ x ◊ x, ...

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