| EPSRC Reference: |
GR/L69398/01 |
| Title: |
TORSION AND FINITENESS CONDITIONS IN GROUP COHOMOLOGY |
| Principal Investigator: |
Leary, Professor I |
| Other Investigators: |
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| Department: |
School of Mathematics |
| Organisation: |
University of Southampton |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 July 1997 |
Ends: |
28 February 1999 |
Value (£): |
48,718
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Many of the links between properties of a group and properties of its cohomology are not well understood. This is especially true for complete cohomology, a recent development due to G. Mislin and others. Exciting recent work of P.H. Kropholler and others has exploited what little is known about complete cohomology, and indicates that cohomology relative to all finite subgroups has an important role to play. We shall extend the known connections between a group and its zeroth complete cohomology group, and compare various finiteness conditions in the case of relative cohomology. We shall also bound the exponent of cohomology for finite groups using relative cohomology.
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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.soton.ac.uk |