Elementary equivalence of Chevalley groups over local rings

DOI10.1070/SM2010v201n03ABEH004074zbMath1201.20048MaRDI QIDQ3577767

E. I. Bunina

Publication date: 23 July 2010

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

local ringsChevalley groupselementary equivalences

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Other matrix groups over rings (20H25)

Related Items (10)

The Diophantine problem in the classical matrix groups ⋮ Universal equivalence of general and special linear groups over fields ⋮ Regular bi-interpretability of Chevalley groups over local rings ⋮ Universal equivalence of symplectic groups ⋮ Elementary equivalence of automorphism groups of reduced Abelian \(p\)-groups. ⋮ 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. ⋮ Isomorphisms of stable linear groups over associative rings containing \(\frac{1}{2}\). ⋮ Algebraic ℚ-groups as abstract groups ⋮ Isomorphisms and elementary equivalence of Chevalley groups over commutative rings

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