Abstract
dc:description.abstractThe main result of this thesis may be described in the following manner: Let G be a finite group and let {dollar}pi{dollar} be a compact Lie group. Define A(G,{dollar}pi{dollar}) to be the free abelian group generated by equivalence classes of subhomomorphisms (G {dollar}supset{dollar} H {dollar}{lcub}buildrelrhooverlongrightarrow{rcub} pi){dollar}. A(G,{dollar}pi{dollar}) is a module over the Burnside ring A(G). Define a map to stable homotopy which sends this subhomomorphism to the stable map BG{dollar}sb+{dollar} {dollar}{lcub}buildrelrm transferoverlongrightarrow{rcub}{dollar} BH{dollar}sb+{dollar} {dollar}{lcub}buildrelrm Brhosb+overlongrightarrow{rcub}{dollar} B{dollar}pisb+{dollar}. This recipe defines a map {dollar}Psi{dollar}: A(G,{dollar}pi)sbsp{lcub}rm IA(G){rcub}{lcub}{rcub}{dollar} {dollar}to{dollar} {dollar}{lcub}{dollar}BG{dollar}sb+{dollar}, B{dollar}pisb+{rcub}{dollar}. Our main result states that {dollar}Psi{dollar} is an isomorphism. This generalises Carlsson's proof of the Segal conjecture.
Degree
thesis:*- Name thesis:degree_name
- Ph D
- Year dc:date.issued
- 1988
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Zelewski, Piotr Mavian
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Handle dc:identifier.uri
- https://hdl.handle.net/20.500.14721/21329
- OAI identifier oai:identifier
- oai:uwo.scholaris.ca:20.500.14721/21329