Elementary properties of linear groups and related problems.

DOI10.1023/B:JOTH.0000036655.73484.A8zbMath1077.20059MaRDI QIDQ1780371

E. I. Bunina, Alexander V. Mikhalev

Publication date: 7 June 2005

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

zbMATH Keywords

surveylinear groupselementary equivalenceselementary properties

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Quasivarieties and varieties of groups (20E10) Word problems, etc. in computability and recursion theory (03D40) Classification theory, stability, and related concepts in model theory (03C45)

Related Items (6)

Groups elementarily equivalent to a free 2-nilpotent group of finite rank. ⋮ Groups elementarily equivalent to a free nilpotent group of finite rank ⋮ Elementary equivalence in Artin groups of finite type ⋮ Metric groups, unitary representations and continuous logic ⋮ Model theory of finite and pseudofinite groups ⋮ Algebraic characterisation of relatively hyperbolic special groups

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