\(SK_1\) for finite groups rings. I

DOI10.1007/BF01390093zbMath0428.18011MaRDI QIDQ1137113

Robert Oliver

Publication date: 1980

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142706

zbMATH Keywords

dihedral groupalgebraic \(K\)-theoryquaternion groupinductionsymbolssemisimple algebralocalization sequence\(p\)-adic completion\(p\)-elementary subgroups\(p\)-Sylow subgroupfinite groups ringsMayer Vietoris sequences

Mathematics Subject Classification ID

Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items

Lower bounds for \(K_ 2^{top}({\hat {\mathbb{Z}}}_ p\pi)\) and \(K_ 2({\mathbb{Z}}\pi)\), \(SK_1\) of finite abelian groups. II, Visible surgery, four-dimensional \(s\)-cobordisms and related questions in geometric topology, Detection theorems for K-theory and L-theory, The transfer maps induced in the algebraic \(K_ 0\)- and \(K_ 1\)-groups by a fibration. II, Correction to: \(SK_ 1\) for finite group rings. I, \(K_{1}\) of a \(p\)-adic group ring. I. The determinantal image, Classifications of 2-complexes whose finite fundamental group is that of a 3-manifold, A Note on Simple Duality, The Group Logarithm Past and Present, Algebraic K-theory, 𝑆𝐾₁ of 𝑝-adic group rings, On s-cobordisms of metacyclic prism manifolds, Units in the modular group algebra of a finite Abelian p-group, Integral group rings: Groups of units and classical K-theory

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