Elementary equivalence of infinite-dimensional classical groups

DOI10.1016/S0168-0072(99)00050-0zbMath0978.03030arXiv1112.2652WikidataQ126788327 ScholiaQ126788327MaRDI QIDQ1591375

Vladimir Tolstykh

Publication date: 22 January 2002

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2652

zbMATH Keywords

automorphismslinear groupselementary types

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Automorphism groups of groups (20F28)

Related Items (7)

A criterion of elementary equivalence of automorphism groups of reduced Abelian \(p\)-groups. ⋮ Elementary equivalence of endomorphism monoids of almost free \(S\)-acts ⋮ Elementary equivalence of automorphism groups of reduced Abelian \(p\)-groups. ⋮ Elementary equivalence of categories of modules and other algebraic structures. ⋮ Elementary equivalence of stable linear groups over local commutative rings with \(1/2\) ⋮ A criterion of elementary equivalence of automorphism groups of unreduced abelian \(p\)-groups. ⋮ Elementary equivalence of the automorphism groups of Abelian \(p\)-groups.

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