Complex \(K\)-theory of \(B\text{SL}_ 3({\mathbb{Z}{}})\)

DOI10.1007/BF00961336zbMath0770.55007MaRDI QIDQ1207502

Nobuaki Yagita, Michishige Tezuka

Publication date: 1 April 1993

Published in: \(K\)-Theory (Search for Journal in Brave)

zbMATH Keywords

classifying spaceChern classesBrown-Peterson cohomologycomplex \(K\)-theory

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Topological (K)-theory (55N15)

Related Items (9)

Transferred characteristic classes and generalized cohomology rings ⋮ Topological \(K\)-(co)homology of classifying spaces of discrete groups ⋮ Rational computations of the topological K-theory of classifying spaces of discrete groups ⋮ Representations and 𝐾-theory of discrete groups ⋮ On the ring structure of \(K^*\) for discrete groups ⋮ The \(K(n)\)-Euler characteristic of extraspecial \(p\)-groups ⋮ Morava 𝐾-theory rings for the dihedral, semidihedral and generalized quaternion groups in Chern classes ⋮ Margolis homology and Morava \(K\)-theory for cohomology of the dihedral group ⋮ Characters and \(K\)-theory of discrete groups

Cites Work

• Unnamed Item
• Cohomological behaviour of the reduction modulo a prime of \(GL_ 3(Z)\)
• The cohomology of \(SL_3(Z)\)
• Filtrations on the representation ring of a finite group
• Symmetric Product Spectra and Splittings of Classifying Spaces
• Generalized group characters and complex oriented cohomology theories

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