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Equivalence of Unimodular (Quadratic)forms on Abelian groups

  1. Mar 27, 2009 #1

    WWGD

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    Hi, everyone:

    I have been looking for a while without success, for the definition of equivalence for
    unimodular quadratic forms defined on Abelian groups .
    I have found instead ,t the def. of equivalence in the more common case where the two forms Q,Q' are defined on vector spaces , and the definition has to see with matrices
    in Sl_n(Z) . It makes sense that the equivalence of unimodular forms has to see with
    matrices in Sl_n(Z) , since these have determinant +/- 1 . But it is not too clear to me
    how we would define this equivalence if instead we had Q,Q' unimodular ,defined on Abelian groups A,A' respectively. Anyone know?.

    Thanks.
     
  2. jcsd
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