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Prime ideals of Iwasawa algebras over solvable groups

Abstract:

In this thesis, we will explore the non-commutative Iwasawa algebra OG of a uniform pro-p group G over the ring of integers O of a finite extension K of Qp. Our aim is to explore the prime ideal structure of OG, and our ultimate goal is to prove that all prime ideals have a standard form for which we have a complete classification. We will focus on the case where G is solvable, and we will divide the problem into two cases, prime ideals containing p and prime ideals not containi...

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

Contributors

Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Research group:
Algebra
Oxford college:
Brasenose College
Role:
Supervisor
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Research group:
Algebra
Oxford college:
University College
Role:
Examiner
Institution:
University of Glasgow
Role:
Examiner
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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