The Lenstra map on classifying spaces and G-theory of group rings

DOI10.1007/BF01388733zbMath0589.55008OpenAlexW1983936732MaRDI QIDQ1074179

David L. Webb

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/143334

zbMATH Keywords

classifying spacesabelian groupsdihedral groupsfinite groupQuillen K-theory

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (7)

G-theory of group rings for groups of square-free order ⋮ Higher G-theory of nilpotent group rings ⋮ On \(G_ n(RG)\) for G a finite nilpotent group ⋮ Higher \(K'\)-groups of integral group rings ⋮ A note on the Hambleton-Taylor-Williams conjecture ⋮ Higher Algebraic K-Theory ⋮ A simple counterexample to the Hambleton-Taylor-Williams conjecture

Cites Work

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• Grothendieck groups of dihedral and quaternion group rings
• Quillen G-theory of Abelian group rings
• Grothendieck groups of Abelian group rings
• The group \(K_3(Z)\) is cyclic of order forty-eight
• Grothendieck groups of integral group rings
• Higher algebraic K-theory: I

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