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Math Help - Torsion coefficients

  1. #1
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    Torsion coefficients

    How would I go about finding the torsion coefficients of Z10 x Z36 x Z14 x Z21?

    I think the first stage is to write 10, 36, 14 and 31 as products of primes but I'm not sure where to go from there.
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  2. #2
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    Quote Originally Posted by d_p_osters View Post
    How would I go about finding the torsion coefficients of Z10 x Z36 x Z14 x Z21?

    I think the first stage is to write 10, 36, 14 and 31 as products of primes but I'm not sure where to go from there.
    I am not exactly sure what you are asking but I it seems to me an exercise in the classification theorem for abelian groups. You need to bring this to standard form. Note \mathbb{Z}_{10} \simeq \mathbb{Z}_2\times \mathbb{Z}_5, and so on. Now replace each factor with the equivalent isomorphic form to bring this expression into a direct product of groups of the form \mathbb{Z}_{p^k}.
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