Bruner-Greenlees conjecture on real connective \(K\)-theory of generalized quaternion groups

DOI10.1016/J.TOPOL.2013.12.001zbMath1284.19011OpenAlexW2037128281WikidataQ123250786 ScholiaQ123250786MaRDI QIDQ388825

Kijti Rodtes

Publication date: 7 January 2014

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2013.12.001

zbMATH Keywords

generalized quaternion groupsBruner-Greenlees conjectureequivariant real connective \(K\)-cohomologyreal \(K\)-homology

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Connective (K)-theory, cobordism (19L41) Equivariant homology and cohomology in algebraic topology (55N91) Syzygies, resolutions, complexes and commutative rings (13D02) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local cohomology and commutative rings (13D45) Topological (K)-theory (55N15) Adams spectral sequences (55T15) Equivariant (K)-theory (19L47) Geometric applications of topological (K)-theory (19L64)

Cites Work

• Unnamed Item
• Classification of \(BG\) for groups with dihedral or quaternion Sylow 2- subgroups
• A counterexample to the (unstable) Gromov-Lawson-Rosenberg conjecture
• The Gromov-Lawson-Rosenberg conjecture for groups with periodic cohomology
• An analytic computation of \(ko_{4\nu -1}(BQ_ 8)\)
• Group representations, \(\lambda\)-rings and the \(J\)-homomorphism
• Equivariant \(K\)-theory and completion
• A ``stable version of the Gromov-Lawson conjecture
• The connective 𝐾-theory of finite groups

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