On the algebraic K-cohomology of lens spaces

DOI10.2977/prims/1195180883zbMath0561.55004OpenAlexW2029229771MaRDI QIDQ2266475

Koichi Hirata, Akira Kono

Publication date: 1984

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195180883

zbMATH Keywords

topological K-theoryAdams operation\(\ell \)-adic completion\(\ell \)-adic integers\(2n+1\) dimensional lens space0-connected spectrum of algebraic K-theory

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Topological (K)-theory (55N15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25)

Cites Work

• Unnamed Item
• On the cohomology of algebraic K-spectra over finite fields
• On the algebraic K-group of lens spaces and its applications
• Homology of classical groups over finite fields and their associated infinite loop spaces
• The structure of \(K_ \Lambda\)-rings of the lens space and their applications
• Infinite Loop Spaces (AM-90)

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