Another proof of B. Sury's theorem.

DOI10.1007/s10958-009-9583-zzbMath1189.16017OpenAlexW1993051219MaRDI QIDQ844495

A. V. Prokopchuk, Vyacheslav I. Yanchevskiĭ

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9583-z

zbMATH Keywords

special unitary groupsdivision algebrasglobal fieldsalgebraic function fieldsreduced normsinvolutions of the second kind

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Linear algebraic groups over global fields and their integers (20G30) Finite-dimensional division rings (16K20) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Skew fields, division rings (12E15)

Related Items

Reduced Whitehead groups and the conjugacy problem for special unitary groups of anisotropic Hermitian forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \(\text{SU}(1,D)/[\text{U}(1,D),\text{U}(1,D)\) for a quaternion division algebra \(D\).]
• On Grunwald-Wang's theorem.
• The Norm 1 Group of -Adic Division Algebra
• A note on the special unitary group of a division algebra
• On the Commutator Group of a Simple Algebra