%0 Journal Article %T Elementary equivalence of the automorphism groups of reduced Abelian p-groups %A Michael Roizner %J Mathematics %D 2012 %I arXiv %X 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'. %U http://arxiv.org/abs/1207.1951v1