Elementary equivalence of the automorphism groups of Abelian p-groups

E. I. Bunina, M. A. Roizner

Research output: Contribution to journalArticlepeer-review

Abstract

We consider Abelian p-groups (p ≥ 3) A1 = D1 ⊕ G1 and A2 = D2 ⊕ G2, where D1 and D2 are divisible and G1 and G2 are reduced subgroups. We prove that if the automorphism groups Aut A1 and Aut A2 are elementarily equivalent, then the groups D1, D2 and G1, G2 are equivalent, respectively, in the second-order logic.

Original languageEnglish
Pages (from-to)81-112
Number of pages32
JournalFundamental and Applied Mathematics
Volume15
Issue number7
StatePublished - 2009

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