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Prerna Chaudhary posted an Question
October 15, 2021 • 23:51 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Determine all subgroups of r* (nonzero reals under multiplica tion) of index 2. d

Determine all subgroups of R* (nonzero reals under multiplica tion) of index 2. D

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  • Anonymous User Best Answer

    H=R^+(set of all positive nonzero real numbers) is the only proper subgroup of R^∗ of finite index 2. bcz H.1 and H.(-1) are two different right cost of H in R* Union of these two coset=R*

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