HENSELIAN VALUATIONS OF DIVISION RINGS AND THE GROUPSK1

DOI10.1070/SM1983v045n01ABEH000992zbMath0514.16013OpenAlexW2017204388MaRDI QIDQ3659933

Yuri L. Ershov

Publication date: 1983

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1983v045n01abeh000992

zbMATH Keywords

reduced Whitehead groupssimple algebrasHenselian fieldsfinite- dimensional division ring

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Grothendieck groups, (K)-theory, etc. (16E20) Valued fields (12J10) Division rings and semisimple Artin rings (16Kxx)

Related Items (8)

On torsion subgroups of Whitehead groups of division algebras. ⋮ A Criterion for the Triviality ofG(D) and Its Applications to the Multiplicative Structure ofD ⋮ Graded Hermitian forms and Springer's theorem ⋮ Valuations on algebras with involution. ⋮ Galois cohomology and forms of algebras over Laurent polynomial rings ⋮ \(SK_1\)-like functors for division algebras ⋮ Division algebras over Henselian fields. ⋮ On the First Galois Cohomology Group of the Algebraic Group SL₁(D)

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