| EPSRC Reference: |
GR/M78311/01 |
| Title: |
THE HOMOTOPY THEORY OF GROUPS |
| Principal Investigator: |
Levi, Professor R |
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| Department: |
Mathematical Sciences |
| Organisation: |
University of Aberdeen |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
05 January 2000 |
Ends: |
04 January 2002 |
Value (£): |
53,616
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The homotopy theory associated to groups and their homotopy theoretic analogies gives a vast opportunity for exploration and is well connected to current and classical trends in homotopy theory and algebra. New techniques both in homotopy theory and algebra make the subject more approachable than ever before. This project is concerned mainly with the homotopy theory of finite groups. More specifically, given a group G, the object of study its p-completed classifying space - an object with an extremely rich and complex homotopy structure depending only on the group under consideration. These spaces are closely related to so-called p-compact group - loop spaces with finite mod-p homology and p-complete classifying spaces, extensively studied in recent years - still they present a whole new spectrum of interesting problems. We plan to develop a homotopy theoretic glossary for group theoretic concepts. Resulting new terminology will include, homotopy representations, homotopy group extensions and other analogues of groups theoretic terms. In this framework it seems reasonable to expect a flow of new results on the subject, such as a complete understanding of spaces of homotopy equivalences, the classification of homotopy group extensions and more, as described in the case for support.
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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 |
| Summary |
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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 |