Detection theorems for K-theory and L-theory

DOI10.1016/0022-4049(90)90070-XzbMath0718.18006MaRDI QIDQ2639165

Ian Hambleton, Bruce Williams, Laurence R. Taylor

Publication date: 1990

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

K-theoryL-theoryhyperelementary group\(\omega\)-basic groupsclassification results for the basic hyperelementary groupsDetection Theoremdirect sum of restriction mapsGeneration TheoremMorita categoriesWitt-basic groups

Mathematics Subject Classification ID

(K)-theory of quadratic and Hermitian forms (11E70) Algebraic theory of quadratic forms; Witt groups and rings (11E81) Witt groups of rings (19G12) (K)-theory and homology; cyclic homology and cohomology (19D55) Computations of higher (K)-theory of rings (19D50) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Hermitian (K)-theory, relations with (K)-theory of rings (19G38) Symmetric monoidal categories (19D23) (L)-theory of group rings (19G24) Karoubi-Villamayor-Gersten (K)-theory (19D25)

Related Items (11)

Rational representations and permutation representations of finite groups. ⋮ Bounded Surgery and Dihedral Group Actions on Spheres ⋮ Genotypes of irreducible representations of finite \(p\)-groups ⋮ The Roquette category of finite \(p\)-groups ⋮ Rhetorical biset functors, rational \(p\)-biset functors and their semisimplicity in characteristic zero ⋮ Unnamed Item ⋮ Obstructions for gluing biset functors ⋮ Rational \(p\)-biset functors ⋮ Mackey functors and bisets. ⋮ Semicharacteristics, Bordism, and Free Group Actions ⋮ On the computation of the projective surgery obstruction groups

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