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

By Michael Roizner

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'

Topics: Mathematics - Group Theory, Mathematics - Logic
Year: 2012
OAI identifier: oai:arXiv.org:1207.1951

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