Stable cohomotopy and cobordism of abelian groups

DOI10.1017/S0305004100058734zbMath0493.55002MaRDI QIDQ3956090

C. T. Stretch

Publication date: 1981

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

zbMATH Keywords

Segal's conjecturecompletion of Burnside ring of a finite abelian groupcomplex cobordism ring of classifying spacesexponential characteristic class for permutation representationsstable cohomotopy group of the classifying space of a finite abelian group

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Stable homotopy theory, spectra (55P42) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Stable homotopy groups (55Q10) Cohomotopy groups (55Q55)

Related Items (3)

The local (co)homology theorems for equivariant bordism ⋮ Equivariant BP-Cohomology for Finite Groups ⋮ Generalized group characters and complex oriented cohomology theories

Cites Work

• Unnamed Item
• Categories and cohomology theories
• Steenrod-Operationen in Kobordismen-Theorien
• Elementary proofs of some results of cobordism theory using Steenrod operations
• The Segal Conjecture for Cyclic Groups
• On the formal group laws of unoriented and complex cobordism theory

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