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Algebraic modules for finite groups

Abstract:

The main focus of this thesis is algebraic modules---modules that satisfy a polynomial equation with integer co-efficients in the Green ring---in various finite groups, as well as their general theory. In particular, we ask the question `when are all the simple modules for a finite group G algebraic?' We call this the (p-)SMA property. The first chapter introduces the topic and deals with preliminary results, together with the trivial first results. The second chapter provides the general t...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Algebra
Oxford college:
St John's College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2007
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:7f641b33-d301-4445-8269-a5a33f4b7e5e
Local pid:
ora:1774
Deposit date:
2008-03-14

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