A criterion of elementary equivalence of automorphism groups of reduced Abelian \(p\)-groups.

DOI10.1007/s10958-013-1485-4zbMath1279.20043OpenAlexW2050347427MaRDI QIDQ376157

M. A. Roizner

Publication date: 4 November 2013

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

Full work available at URL: https://doi.org/10.1007/s10958-013-1485-4

zbMATH Keywords

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

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) 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)

Cites Work

• Elementary equivalence of the automorphism groups of Abelian \(p\)-groups.
• Elementary equivalence of infinite-dimensional classical groups
• Elementary equivalence of Chevalley groups
• Elementary equivalence of unitary linear groups over rings and skew fields
• On the basic subgroups of abelianp-groups
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