Characteristic classes for permutation representations

DOI10.1017/S0305004100058722zbMath0494.57018MaRDI QIDQ3957653

C. T. Stretch, Graeme B. Segal

Publication date: 1981

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

zbMATH Keywords

Burnside ringStiefel-Whitney classunitary cobordismordinary cohomologycharacteristic classes for permutation representationscohomology of the symmetric groupscohomology theory with exterior power operations

Mathematics Subject Classification ID

Cohomology of groups (20J06) Characteristic classes and numbers in differential topology (57R20) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Finite transformation groups (57S17) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Primary cohomology operations in algebraic topology (55S05)

Related Items (3)

The local (co)homology theorems for equivariant bordism ⋮ Polynomial operations from Burnside rings to representation functors ⋮ Polynomial operations on stable cohomotopy

Cites Work

• Homology of the infinite symmetric group
• The Adams conjecture
• On the Burnside ring and stable cohomotopy of a finite group.
• Unnamed Item

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