Elementary equivalence of the automorphism groups of Abelian \(p\)-groups.

DOI10.1007/s10958-010-0063-2zbMath1219.20026OpenAlexW2068561035MaRDI QIDQ548761

M. A. Roizner, E. I. Bunina

Publication date: 30 June 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-010-0063-2

zbMATH Keywords

automorphism groupsAbelian \(p\)-groupselementary equivalencessecond order languages

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Automorphism groups of groups (20F28) Second- and higher-order model theory (03C85) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10)

Related Items

A criterion of elementary equivalence of automorphism groups of reduced Abelian \(p\)-groups. ⋮ Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Elementary equivalence of automorphism groups of reduced Abelian \(p\)-groups. ⋮ A criterion of elementary equivalence of automorphism groups of unreduced abelian \(p\)-groups.

Cites Work

• Elementary equivalence of infinite-dimensional classical groups
• Elementary equivalence of unitary linear groups over rings and skew fields
• Elementary properties of Chevalley groups over local rings
• On Direct Decompositions of Abelian Groups
• On the structure of abelianp-groups
• On the basic subgroups of abelianp-groups
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