Elementary equivalence of Chevalley groups

DOI10.1070/rm2001v056n01ABEH000362zbMath1003.20041OpenAlexW1965697580MaRDI QIDQ2784522

E. I. Bunina

Publication date: 30 October 2002

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2001v056n01abeh000362

zbMATH Keywords

Chevalley groupselementary equivalence

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Properties of classes of models (03C52)

Related Items (9)

The Diophantine problem in the classical matrix groups ⋮ Combinatorial and logical aspects of linear groups and Chevalley groups. ⋮ 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 in Artin groups of finite type ⋮ Elementary equivalence of categories of modules and other algebraic structures. ⋮ Elementary equivalence of Chevalley groups over fields. ⋮ A criterion of elementary equivalence of automorphism groups of unreduced abelian \(p\)-groups.

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