| EPSRC Reference: |
EP/I001441/1 |
| Title: |
Workshop: Finite presentations of finite and infinite groups |
| Principal Investigator: |
Parker, Professor C |
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| Department: |
School of Mathematics |
| Organisation: |
University of Birmingham |
| Scheme: |
Standard Research |
| Starts: |
21 July 2011 |
Ends: |
20 October 2011 |
Value (£): |
19,979
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Over the past decade the study of so-called Curtis-Phan-Tits theory has extended from its original motivation which was to provide tools for the revision of the classification of the finite simple groups to results on finite presentability of (unitary forms of) Kac-Moody groups over finite fields and S-arithmetic groups. These developments in Curtis-Phan-Tits theory are in the realm of finiteness properties of lattices in locally compact groups. Independently, the Curtis-Tits theorem, one of the fundamental results that inspired the Curtis-Phan-Tits theory, was used to prove that all non-abelian finite simple groups with the possible exception of the Ree groups have presentations with two generators and at most 80 relations. Further advances both in finiteness properties of lattices in locally compact groups, in Curtis-Phan-Tits theory and in bounded presentations of discrete groups are to be expected by exploiting the methods of these areas of mathematics simultaneously. For this reason we think that it is appropriate and timely to organize a workshop at Birmingham bringing together researchers active in these spheres.
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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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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 |