| EPSRC Reference: |
GR/N20218/01 |
| Title: |
HOMOLOGY DECOMPOSITIONS FOR P-COMPACT GROUPS |
| Principal Investigator: |
Levi, Professor R |
| Other Investigators: |
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| Department: |
Mathematical Sciences |
| Organisation: |
University of Aberdeen |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
18 April 2000 |
Ends: |
17 June 2000 |
Value (£): |
3,500
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The theory of p-compact groups, developed by Dwyer-Wilkerson, Notbohm, Moller and others, has been the most significant development ever in the study of finite loop spaces. The subject opens a vast field for exploration. In particular, the classification problem of p-compact groups is still open and mapping spaces between their classifying spaces are far from being well understood. A main tool in understanding the homotopy theory of compact Lie groups has been homology decompositions and in particular the so-called subgroup decomposition . This type of decomposition is likely to exist and be well behaved for p-compact groups, but to date it has not been constructed. We propose to develop a subgroup decomposition for p-compact groups, study its properties and apply it to gain a better control over the classification problem and mapping spaces between p-compact groups.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.abdn.ac.uk |