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Preprint Number 479
479. Michael Roizner
Elementary equivalence of the automorphism groups of reduced Abelian p-groups
Submission date: 10 July 2012.
Consider unbounded reduced Abelian p-groups (p > 2) A and A'. In this paper, we prove that if the automorphism groups Aut A and Aut A' are elementary equivalent then the groups A and A' are equivalent in the second order logic bounded by the final rank of the basic subgroups of A and A'.
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