A homotopy decomposition for the classifying space of virtually torsion-free groups and applications

DOI10.1017/S0305004100001638zbMath0881.55015MaRDI QIDQ4352691

Chun-Nip Lee

Publication date: 3 February 1998

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

spectral sequencetorsionhomotopy colimitFarrell cohomologyTate cohomologydiscrete grouporbit categorygeneralized cohomology theoryBousfield-Kan spectral sequencefinite subgrouphigher derived functorclassifying space of a groupgroup of finite virtual cohomological dimensioninverse limit functorConner conjecture

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Spectral sequences in algebraic topology (55T99) Other homology theories in algebraic topology (55N35) Generalized cohomology and spectral sequences in algebraic topology (55T25)

Related Items (2)

LHS-spectral sequences for regular extensions of categories ⋮ Homotopy colimits of classifying spaces of abelian subgroups of a finite group

Cites Work

• Torsion in equivariant cohomology
• Equivariant stable homotopy and Segal's Burnside ring conjecture
• Homotopy decomposition of classifying spaces via elementary Abelian subgroups
• Homotopy classification of self-maps of \(BG\) via \(G\)-actions. I
• On the \(K\)-theory of the classifying space of a discrete group
• A proof of the Conner conjecture
• The spectrum of an equivariant cohomology ring. I. II
• The paracompactness of \(CW\)-complexes
• On the Exponent of Cohomology of Discrete Groups
• Higher limits via steinberg representations
• Representations and 𝐾-theory of discrete groups

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