Elementary equivalence of stable linear groups over fields of characteristic 2

DOI10.1007/S10958-024-07314-7MaRDI QIDQ6597853

A. V. Mikhalev, I. O. Solovyev, E. I. Bunina

Publication date: 4 September 2024

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

Mathematics Subject Classification ID

Linear algebraic groups and related topics (20Gxx) Model theory (03Cxx) Structure and classification of infinite or finite groups (20Exx)

Cites Work

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• Automorphisms of stable linear groups over commutative local rings with \(1/2\).
• Isomorphisms of a complete linear group over an associative ring
• Elementary theory of free non-abelian groups.
• Model theory.
• Elementary equivalence of infinite-dimensional classical groups
• Elementary equivalence of stable linear groups over local commutative rings with \(1/2\)
• Elementary equivalence of linear groups over rings with a finite number of central idempotents and over Boolean rings.
• Universal equivalence of general and special linear groups over fields
• Diophantine geometry over groups. VI: The elementary theory of a free group.
• Every two elementarily equivalent models have isomorphic ultrapowers
• Elementary equivalence of Chevalley groups
• Elementary equivalence of Chevalley groups over local rings
• Elementary equivalence of unitary linear groups over rings and skew fields
• Isomorphisms and elementary equivalence of Chevalley groups over commutative rings
• Lattice Isomorphisms between Modules (1) Endomorphism Rings^∗
• Elementary properties of Abelian groups

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