Elementary equivalence of automorphism groups of reduced Abelian \(p\)-groups.
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Publication:469083
DOI10.3103/S0027132213030042zbMath1299.20054arXiv1207.1951MaRDI QIDQ469083
Publication date: 10 November 2014
Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.1951
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)
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Cites Work
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- Elementary equivalence of the automorphism groups of Abelian \(p\)-groups.
- Model theory
- Elementary equivalence of infinite-dimensional classical groups
- Elementary equivalence of Chevalley groups
- Elementary equivalence of Chevalley groups over local rings
- Elementary equivalence of unitary linear groups over rings and skew fields
- On the basic subgroups of abelianp-groups