Reduced norms in the K-theory of orders

DOI10.1016/0021-8693(77)90390-8zbMath0358.16021OpenAlexW2091316211MaRDI QIDQ1239234

Stephen M. J. Wilson

Publication date: 1977

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90390-8

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Class field theory (11R37) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Division rings and semisimple Artin rings (16Kxx)

Related Items

Localization and class groups of module categories with exactness defects, Unnamed Item, The isomorphism class of a set of lattices, Propriétés locales et globales de certaines extensions metacycliques, S-groupes des classes d'un ordre arithmétique, On the K-theory of tiled orders, Groupe des classes de l'algèbre d'un groupe metacyclique, Quelques théorèmes de base normale d'entiers, Units in Whitehead groups of finite groups

Cites Work

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• On the classification of Hermitian forms. IV: Adele rings
• On the classification of Hermitian forms. V: Global rings
• The class group of a cyclic p-group
• Grothendieck and Witt groups of orders and finite groups
• The class groups of quaternion and dihedral 2‐groups
• Locally free modules over arithmetic orders.
• K -Theory for Twisted Group Rings
• Twisted Group Rings and Ramification
• Grothendieck Groups of Orders in Semisimple Algebras
• Two Remarks About Hereditary Orders