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Equivalence of Unimodular (Quadratic)forms on Abelian groups

  1. Mar 27, 2009 #1


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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?.

  2. jcsd
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