| EPSRC Reference: |
GR/L92174/01 |
| Title: |
STRUCTURE OF SIMPLE ALGEBRAIC GROUPS AND RELATED FINITE GROUPS |
| Principal Investigator: |
Saxl, Professor J |
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| Department: |
Pure Maths and Mathematical Statistics |
| Organisation: |
University of Cambridge |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 February 1998 |
Ends: |
31 January 2001 |
Value (£): |
108,664
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The proposal is concerned with simple algebraic groups over an algebraically closed field and related finite groups, and in particular with their unipotent elements. The first part is concerned with subgroup structure. In the case of algebraic groups in characteristic 0, there is a lot of information provided by classical work of Dynkin. The situation is much more complicated in positive characteristic. It is however important to understand this, partly because of the connection to the finite case. Much progress has been made recently. We propose to investigate the closed reductive overgroups of certain unipotent elements, as well as the minimal closed connected abelian overgroups. The second part of the project is concerned with generation and product properties of conjugate elements. There is a conjectured relation between the number of conjugates needed to generate the group and the covering number (the number such that the corresponding power of the conjugacy class covers the 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.cam.ac.uk |