On reduced anisotropic unitary Whitehead groups of henselian division algebras which are either unramified or tamely ramified with commutative residue algebras-Reference-Cited by-同舟云学术

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On reduced anisotropic unitary Whitehead groups of henselian division algebras which are either unramified or tamely ramified with commutative residue algebras

Published:2021-02-25 Issue:1 Volume:65 Page:7-10
ISSN:2524-2431
Container-title:Doklady of the National Academy of Sciences of Belarus
language:
Short-container-title:Dokl. Akad. nauk

Author:

Yanchevskii V. I.¹

Affiliation:

1. Institute of Mathematics of the National Academy of Sciences of Belarus

Abstract

Reduced anisotropic unitary Whitehead groups of henselian division algebras, which are either unramified or tamely ramified with commutative residue algebra, are computed.

Publisher

Publishing House Belorusskaya Nauka

Reference4 articles.

1. Sethuraman B. A., Sury B. A note on the special unitary group of a division algebra. Proceedings of the American Mathematical Society, 2005, vol. 134, no. 2, pp. 351–354. https://doi.org/10.1090/s0002-9939-05-07985-2

2. Sury B. On SU(1, D) / [U(1, D), U(1, D)] for a quaternion division algebra D. Archiv der Mathematik, 2008, vol. 90, no. 6, pp. 493–500. https://doi.org/10.1007/s00013-008-2438-x

3. Yanchevskii V. I. Reduced Whitehead groups and the conjugacy problem for special unitary groups of anisotropic Hermitian forms. Journal of Mathematical Sciences, 2013, vol. 192, no. 2, pp. 250–262. https://doi.org/10.1007/s10958-013-1391-9

4. Albert A. A. Involutorial simple algebras and real Riemann matrices. Annals of Mathematics, 1935, vol. 36, no. 4, pp. 886–964. https://doi.org/10.2307/1968595

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