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Math Help - homomorphisms

  1. #1
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    homomorphisms

    The number of homomorphisms from (Z,+) to (Q*, .) such that f(2) = 1/3.
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  2. #2
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    Re: homomorphisms

    hai everyone i am first to this site and this is my first question. i am an msc student preparing for net exam so dear friends kindly help me.
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  3. #3
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    Re: homomorphisms

    Hi,
    Let f be such a homomorphism. Then f is completely determined by f(1). (If f(1) = x, then f(n) = xn for any integer n.) Let f(1) = x, a rational. Then x2 = 1/3. Ask yourself how many rationals x have this property. The answer should now be clear.
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