What Does the Automorphism Group of a Free Abelian Group a Know about A?
نویسنده
چکیده
Let A be an infinitely generated free abelian group. We prove that the automorphism group Aut(A) first-order interprets the full secondorder theory of the set |A| with no structure. In particular, this implies that the automorphism groups of two infinitely generated free abelian groups A1, A2 are elementarily equivalent if and only if the sets |A1|, |A2| are second-order equivalent.
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تاریخ انتشار 2008