| EPSRC Reference: |
GR/L60326/01 |
| Title: |
APPLICATIONS OF COMPUTERS TO QUESTIONS LIKE THOSE OF BURNSIDE |
| Principal Investigator: |
Vaughan-Lee, Professor M |
| Other Investigators: |
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| Department: |
Mathematical Institute |
| Organisation: |
University of Oxford |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 September 1997 |
Ends: |
31 August 1998 |
Value (£): |
2,151
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| EPSRC Research Topic Classifications: |
| Fundamentals of Computing |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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I am interested in developing algorithms for computing very large P-Groups and their associated Lie rings. Recently Prof. Newman (Australian National University) and I computed the largest 2 generator 6-Engel Lie algebra over Z7. It has class 29 and dimension 23789. This implies that R(2,7) has class at most 29 and order at most 723789. This calculation used a more compact data structure than had previously been used in this type of computation. I want to introduce a similar data structure into group calculations, with a view to computing R(2,7).
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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.ox.ac.uk |