A Mayer-Vietoris sequence for Picard groups, with applications to integral group rings of dihedral and quaternion groups

zbMath0632.16006MaRDI QIDQ1095224

Klaus W. Roggenkamp, William H. Gustafson

Publication date: 1988

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

group of unitsintegral group ringsMayer-Vietoris sequenceouter automorphismsfibre productcentral orthogonal idempotentsseparable K-algebrarelative Picard groupinvertible \(\Lambda \)-bimodules

Mathematics Subject Classification ID

Group rings (16S34) Conditions on elements (16U99) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Homological methods in associative algebras (16Exx)

Related Items (2)

On Invertible Bimodules and Automorphisms of Noncommutative Rings ⋮ Integral group rings: Groups of units and classical K-theory

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