Arindam Chaki posted an Question
October 17, 2021 • 19:41 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Suppose that h is a nonempty subset of a group g with the prop- erty that if a andb belong to h then ab belongs to h. prove or disprove that this is enough to g

Suppose that H is a nonempty subset of a group G with the prop- erty that if a andb belong to H then ab belongs to H. Prove or disprove that this is enough to guarantee that H is a subgroup of G.

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