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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.

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# Equivalence of Unimodular (Quadratic)forms on Abelian groups

Can you offer guidance or do you also need help?

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