Henselian division algebras and reduced unitary Whitehead groups for outer forms of anisotropic algebraic groups of the type $A_n$
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Published:2022
Issue:8
Volume:213
Page:1096-1156
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ISSN:1064-5616
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Container-title:Sbornik: Mathematics
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language:en
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Short-container-title:Sb. Math.
Author:
Yanchevskii Vyacheslav Ivanovich1
Affiliation:
1. 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.
Funder
National Academy of Sciences of Belarus, Ministry of Education of the Republic of Belarus
Belarusian Republican Foundation for Fundamental Research
Publisher
Steklov Mathematical Institute
Subject
Algebra and Number Theory
Reference65 articles.
1. Ergeb. Math. Grenzgeb.;J. A. Dieudonné,1971
2. Ch. 7: Modules sur les anneaux principaux;N. Bourbaki,1952
Cited by
1 articles.
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