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Details of Grant 

EPSRC Reference: EP/H018891/1
Title: Representation Degrees, Character Values and Applications
Principal Investigator: Liebeck, Professor M
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Mathematics
Organisation: Imperial College London
Scheme: Standard Research
Starts: 20 November 2009 Ends: 19 May 2013 Value (£): 48,461
EPSRC Research Topic Classifications:
Algebra & Geometry
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:
Panel DatePanel NameOutcome
03 Sep 2009 Mathematics Prioritisation Panel Sept 3rd 2009 Announced
Summary on Grant Application Form
In recent years there has been a growing use of Representation Theory in Asymptotic Group Theory and related topics.On the one hand, there is the rather new subject of representation growth, somewhat analogous to the classical study ofsubgroup growth. On the other hand, the solutions of various seemingly unrelated problems - such as random walks on groups,or random generation of simple groups, or word maps on groups - require new results in representation theory, involving character degreesand values. In this proposal we plan to study several quantitative aspects of representation theory, and to applythem in a wide variety of such contexts.
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Summary
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Organisation Website: http://www.imperial.ac.uk