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

V. I. Yanchevskiǐ

Sbornik. Mathematics, Tome 213 (2022) no. 8, pp. 1096-1156

Résumé

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.

Détail

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

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