| EPSRC Reference: |
GR/N27491/01 |
| Title: |
SYMMETRIC GENERATION OF THE LARGER SPORADIC SIMPLE GROUPS |
| Principal Investigator: |
Curtis, Professor RT |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
School of Mathematics |
| Organisation: |
University of Birmingham |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 February 2001 |
Ends: |
31 January 2003 |
Value (£): |
96,638
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Summary on Grant Application Form |
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The 26 sporadic finite simple groups were discovered over the course of the last 136 years in many unrelated ways: as permutations preserving some combinatorial structure, as automophism groups of some lattice, as groups satisfying some group-theoretic property and so on. The classification of finite simple groups states that this list of 26 is complete, but as yet there exists no unified method of constructing these fundamentally important objects. The recent work of the Principal Investigator and his five research students provides a systematic approach which enables the smaller groups to be readily constructed by hand. It is the primary aim of this project to construct the remaining groups in a similar way. The essential idea is to obtain the groups as homomorphic images of certain naturally defined infinite groups (progenitors). For all but the largest groups, computer calculation can be used. However, for the largest two, the Baby Monster and the Monster, we expect geometry to play a more prominent role as their minimal permutation degrees remain out of range of even the most powerful computers.
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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 |
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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.bham.ac.uk |