| EPSRC Reference: |
GR/S16935/01 |
| Title: |
Aspects of finite and algebraic groups: exceptionality, generation and applications |
| Principal Investigator: |
Saxl, Professor J |
| Other Investigators: |
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| Department: |
Pure Maths and Mathematical Statistics |
| Organisation: |
University of Cambridge |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
02 October 2002 |
Ends: |
01 January 2006 |
Value (£): |
10,388
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The project is based in the theory of groups, finite and algebraic. The aim of the proposed exchange visits is to attack a number of problems in the area of groups theory and its applications.We intend to investigate exceptional actions of groups; these came up in our work with Fried on exceptional polynomials, and with M\ uller on Schur's problem. The general problem merits investigation.Secondly, we intend to investigate proportions of fixed point free permutations in almost simple groups. This is related to the so-called Shalev conjecture for simple groups, which has been solved recently. The question is much harder in the proposed context, in view of exceptional actions mentioned above. This too has consequences on value sets of polynomials over finite fields and hence has broader applications.Thirdly, an action is a base 2 action if the stabilizer of some two points is trivial. We intend to investigate the possibility that, contrary to traditional wisdom, the list of such actions may be managable. Finally, we intend to investigate some generation properties of exceptional groups of Lie type.
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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.cam.ac.uk |