Elementary equivalence of the automorphism groups of reduced Abelian p-groups

Michael Roizner

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arXiv · 1207.1951

Elementary equivalence of the automorphism groups of reduced Abelian p-groups

Michael Roizner

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Abstract

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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Michael Roizner. 2012-07-09. Elementary equivalence of the automorphism groups of reduced Abelian p-groups. https://arxiv.org/abs/1207.1951

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