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Thesis

Profinite properties of 3-manifold groups

Abstract:

In this thesis we study the finite quotients of 3-manifold groups, concerning both residual properties of the groups and the properties of the 3-manifolds that can be detected using finite quotients of the fundamental group.

A key theme is the analysis of when two 3-manifold groups can have the same families of finite quotients. We make a detailed study of this 'profinite rigidity' problem for Seifert fibre spaces and prove complete classification results for these manifolds.

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Gareth Wilkes More by this author

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Role:
Supervisor
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Grant:
MATH1417
Funding agency for:
Gareth Wilkes
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
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