Segal conjecture

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:concerns Burnside ring of finite groups
stable cohomotopy of classifying spaces
gptkbp:field gptkb:topology
https://www.w3.org/2000/01/rdf-schema#label Segal conjecture
gptkbp:proposedBy gptkb:Graeme_Segal
gptkbp:provenBy gptkb:Gunnar_Carlsson
gptkbp:relatedTo representation theory
equivariant stable homotopy theory
gptkbp:sentence The natural map from the Burnside ring of a finite group G to the zeroth stable cohomotopy group of the classifying space BG is a completion at the augmentation ideal.
gptkbp:status proven
gptkbp:yearProposed 1970s
gptkbp:yearProved 1984
gptkbp:bfsParent gptkb:Graeme_Segal
gptkbp:bfsLayer 5