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Thesis

Variations on the theme of zeta functions of groups and rings

Abstract:

In recent years the study of zeta functions of groups and rings has been expanded rapidly. Many new zeta functions enumerating different subobjects have been introduced and studied. However, we still encounter difficulties when one wants to explicitly compute them.

This thesis comprises three parts. The first part contains the computation of ideal zeta functions for low dimensional, class-2 nilpotent Lie rings. In addition, we discuss connections to Higman's PORC conjecture. Th...

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

Contributors

Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:3750a106-8dbe-473b-884b-10b7fe638c66
Deposit date:
2019-10-23

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