A note on the special unitary group of a division algebra

DOI10.1090/S0002-9939-05-07985-2zbMath1088.16016OpenAlexW1990390350MaRDI QIDQ5705542

B. A. Sethuraman, Balasubramanian Sury

Publication date: 9 November 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07985-2

zbMATH Keywords

special unitary groupsdivision algebrassymbol algebrasalgebraic function fieldsreduced normsinvolutions of the second kind

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60) Skew fields, division rings (12E15)

Related Items (3)

Another proof of B. Sury's theorem. ⋮ Invariant subalgebras of involutorial quaternion division algebras. ⋮ Reduced Whitehead groups and the conjugacy problem for special unitary groups of anisotropic Hermitian forms

Cites Work

• Extending Valuations to Finite Dimensional Division Algebras
• Noncrossed Product Division Algebras with a Baer Ordering
• On the Commutator Group of a Simple Algebra
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