Lower k-theory of finite groups

DOI10.1080/00927878008822554zbMath0448.16017OpenAlexW1998640212MaRDI QIDQ3894067

David W. Carter

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/00927878008822554

zbMATH Keywords

integral group rings of finite groupslower K-theorylocal Schur indicesFrobenius functorlower K-groupshyperelementary subgroupssimple components of the group algebra

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Group rings (16S34) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Localization of categories, calculus of fractions (18E35)

Related Items (24)

A remark on \(K_ 0\) of crystallographic groups ⋮ Bounded Homotopy Equivalences of Hilbert Cube Manifolds ⋮ The equivariant topological s-cobordism theorem ⋮ On the classification of G-spheres. I. Equivariant transversality ⋮ Automorphisms of manifolds and algebraic K-theory. I ⋮ Equivariantly finite manifolds with no handle structure ⋮ On the homotopy theory of equivariant automorphism groups ⋮ The Whitehead group and the lower algebraic \(K\)-theory of braid groups on \(\mathbb S^{2}\) and \(\mathbb R P^{2}\) ⋮ Controlled algebraic \(K\)-theory of integral group ring of \(SL(3,\mathbb{Z})\) ⋮ Bredon homology of Artin groups of dihedral type ⋮ The relationship between the boundedly controlled \(K_1\) and Whitehead groups ⋮ On the ranks of the algebraic \(K\)-theory of hyperbolic groups ⋮ Lower algebraicK-theory of certain reflection groups ⋮ Algebraic K-theory ⋮ The lower algebraic \(K\)-theory of \(\Gamma_{3}\) ⋮ Rigidity and crystallographic groups. I ⋮ Induction Theorems and Isomorphism Conjectures for K- and L-Theory ⋮ \(K\)- and \(L\)-theory of graph products of groups ⋮ Homotopically Stratified Sets ⋮ On the relative \(K\)-group in the ETNC. III ⋮ Negative K-Theory of Generalized Quaternion Groups and Binary Polyhedral Groups ⋮ The Farrell-Jones Isomorphism Conjecture for finite covolume hyperbolic actions and the algebraic $K$-theory of Bianchi groups ⋮ A geometric approach to the lower algebraic K-theory of Fuchsian groups ⋮ Algebraic 𝐾-theory of poly-(finite or cyclic) groups

Cites Work

• Induced representations and projective modules
• Induction and structure theorems for orthogonal representations of finite groups
• The functors \(K_{-i}\) and pseudo-isotopies of polyhedra
• Localization in lower algebraic k-theory

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