| EPSRC Reference: |
GR/M18782/01 |
| Title: |
TORSION IN GROUPS ACTING ON CAT (0) SPACES |
| Principal Investigator: |
Niblo, Professor GA |
| Other Investigators: |
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| Department: |
School of Mathematics |
| Organisation: |
University of Southampton |
| Scheme: |
Overseas Travel Grants Pre-FEC |
| Starts: |
01 March 1998 |
Ends: |
31 May 1999 |
Value (£): |
8,224
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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It is well known that a torsion group (that is, a group in which every element has finite order) acting by isomatries on a tree must have a global fixed point, and that therefore such a group can not be decomposed as an HNN extension or a non-trivial amalgamated free product. It is natural to ask how this result maybe generalised. Farb, Niblo and Sageev showed that any torsion group acting on a CAT (-1) simplicial complex necessarily has a global fixed point. It is proposed to generalise this result by considering actions on CAT (0) complexes. It is hoped that results of that kind will shed light on the question of whether or not there exists an infinite, finitely presented torsion group.
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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 |