Reduced K-theory and approximation in algebraic groups

zbMath0417.16012MaRDI QIDQ754948

Vladimir Platonov

Publication date: 1976

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

simple algebrasapproximation in algebraic groupsformal Laurent series fieldsreduced K-theoryreduced normreduced Whitehead group

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Linear algebraic groups over arbitrary fields (20G15) Grothendieck groups, (K)-theory, etc. (16E20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Linear algebraic groups over global fields and their integers (20G30) Valuations and their generalizations for commutative rings (13A18) Classical groups (11E57) Linear algebraic groups over local fields and their integers (20G25) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Division rings and semisimple Artin rings (16Kxx)

Related Items (3)

Linear algebraic groups with good reduction ⋮ Homogeneous skew fields of noncommutative rational functions and their reduced Whitehead groups. ⋮ On weak approximation in algebraic groups and related varieties defined by systems of forms

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