| EPSRC Reference: |
GR/L06928/01 |
| Title: |
FINITENESS CONDITIONS ON GROUPS AND CUBE COMPLEXES |
| Principal Investigator: |
Dunwoody, Professor M |
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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 (£): |
8,000
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Summary on Grant Application Form |
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Recent work of Bestvina and Brady has used an analogue of Morse theory to study groups arising as subgroups (normal, with infinite cyclic quotient) of the fundamental groups of locally CAT(0) cube complexes. Many algebraic properties of these groups are controlled by the local topology of the cube complex. We shall extend the range of properties controlled in this way to include such concepts as automaticity and combability. We shall give a purely algebraic proof of the existence of a group of type FP that is not finitely presented. We shall extend the notion of a folding sequence to group actions on cube complexes.
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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 |