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Details of Grant 

EPSRC Reference: GR/M12551/01
Title: BURNSIDE GROUPS OF SMALL EXPONENT
Principal Investigator: Holt, Professor D
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Mathematics
Organisation: University of Warwick
Scheme: Standard Research (Pre-FEC)
Starts: 02 September 1998 Ends: 31 October 1999 Value (£): 2,880
EPSRC Research Topic Classifications:
Algebra & Geometry
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
The most important and challenging current problem in the area of Burnside groups is to decide the finiteness or infiniteness of B(2,5). We do not realistically expect to achieve this aim, but we hope to gain more experience and feeling for this group by proving infiniteness of some of its preimages. We shall also be exploring finiteness proofs related to groups of exponent four and six; it would also be interesting, for example, to find some kind of computational proof of the finiteness of B(2,6) that does not rely on the fact that 6=3 times 2, since this might provide more of an insight into the B(2,5) situation. Newman expects to make short visits to Mike Vaughan-Lee in Oxford and Sarah Rees in Newcastle during his visit, to collaborate on the same basic problems.
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Organisation Website: http://www.warwick.ac.uk