| EPSRC Reference: |
GR/R78374/01 |
| Title: |
Rings of invariants for modular representations of p-groups |
| Principal Investigator: |
Shank, Dr RJ |
| Other Investigators: |
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| Department: |
Sch of Maths Statistics & Actuarial Sci |
| Organisation: |
University of Kent |
| Scheme: |
Fast Stream |
| Starts: |
21 February 2003 |
Ends: |
20 February 2006 |
Value (£): |
59,618
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Describe the proposed research in about 200 words. Invariant theory played a prominent role in nineteenth century mathematics and has Important applications to the modern disciplines of algebraic geometry and algebraic topology. Recent advances in computer technology have highlighted the importance of computational methods to the subject. It is now possible to solve problems once though to be completely inaccessible. This project deals with the invariant theory of finite groups placing particular emphasis on the challenging yet fundamental case of p-groups over a field of characteristic p. We address the problem of constructing generators and relations for the ring of invariants and we investigate the relationship between a representation and the corresponding ring of invariants. Our methods involve the use of SAGBI bases, the analog for a subalgebra of a Groebner basis, and we expect that the project will lead to a better understanding of this important aspect of computational commutative algebra.
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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.kent.ac.uk |