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Arindam chaki Asked a Question
October 2, 2021 7:15 pmpts 30 pts
  • IIT JAM
  • Mathematics (MA)

17. (from the gre practice exam)* letp and q be distinct primes. suppose that h is a proper subset of the integers that is a group un- der addition that contain

17. (From the GRE Practice Exam)* Letp and q be distinct primes. Suppose that H is a proper subset of the integers that is a group un- der addition that contains exactly three elements of the set {p, pq. pq. p', q'}. Determine which of the following are the three elements in H. a. pq, p', q" b. pt 4. pq. P" C. p.p tq, pq d. p.p'.t e. p, pg, p" 2
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  • Sai
    Option E...check it with taking p=2 and q=3 then infer the result
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  • Navdeep goyal 1 thankyou
    options E The additive subgroups of Z are all of the form {kn:k∈Z} for an integer n. In other words H consists of all multiples of some integer n. Here n can't be 1 or −1since i...
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    Navdeep goyal 1
    read sending answers
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