EPSRC Reference: 
GR/S41319/01 
Title: 
A worldwideweb Atlas of group representations 
Principal Investigator: 
Wilson, Professor R 
Other Investigators: 

Researcher CoInvestigators: 

Project Partners: 

Department: 
School of Mathematics 
Organisation: 
University of Birmingham 
Scheme: 
Standard Research (PreFEC) 
Starts: 
01 May 2004 
Ends: 
31 August 2004 
Value (£): 
249,532

EPSRC Research Topic Classifications: 

EPSRC Industrial Sector Classifications: 
Information Technologies 
No relevance to Underpinning Sectors 

Related Grants: 

Panel History: 

Summary on Grant Application Form 
Finite groups are of central importance in mathematics, and find wide applications in all the physical sciences and elsewhere. The building blocks of finite groups are the 'simple' groups, which fall into well understood families, and twentysix 'sporadic' exceptions, the largest and most interesting of which is the Monster, which has attracted enormous interest. Attention is now focussed on studying properties of these groups, for example, their maximal subgroups, representations, Brauer characters, cohomology, etc. For the 'generic' groups, there is often a theory to explain and calculate some of these properties, but for the 'sporadic' groups no such theory exists. Our primary aim is to provide a database of such information about the sporadic groups, as well as other groups which are exceptional in some way. In particular we aim to construct explicit real representations in dimensions up to 100, finite representations in dimensions up to 1000, calculate 1cohomology, and where possible 2cohomology, for small representations, and provide whatever other information turns out within the lifetime of this project to be both useful and feasible.Keywords: Mathematics, Computing, Software Engineering, Information Technology, Computational Group Theory, Representation theory, Sporadic Groups

Key Findings 
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Potential use in nonacademic contexts 
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Impacts 
Description 
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Summary 

Date Materialised 


Sectors submitted by the Researcher 
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Project URL: 
http://brauer.maths.qmul.ac.uk/Atlas/v3/ 
Further Information: 

Organisation Website: 
http://www.bham.ac.uk 