This article is cited in 2 papers

Henselian division algebras and reduced unitary Whitehead groups for outer forms of anisotropic algebraic groups of the type $A_n$

V. I. Yanchevskiĭ

Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk, Belarus

Abstract: Some results on the structure of involutorial (that is, having an involution) Henselian tamely ramified division algebras are obtained. These results are then used to derive formulae for the computation of the reduced unitary Whitehead groups for outer forms of anisotropic algebraic groups of type $A_n$.
Bibliography: 46 titles.

Keywords: weakly ramified Henselian division algebras, unitary involutions, reduced Whitehead groups of anisotropic algebraic groups.

MSC: Primary 16K20; Secondary 19B99

Received: 27.08.2021 and 21.04.2022

DOI: 10.4213/sm9660

 English version: Sbornik: Mathematics, 2022, 213:8, 1096–1156

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