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Thesis

Encoding and detecting properties in finitely presented groups

Abstract:

In this thesis we study several properties of finitely presented groups, through the unifying paradigm of encoding sought-after group properties into presentations and detecting group properties from presentations, in the context of Geometric Group Theory.

A group law is said to be detectable in power subgroups if, for all coprime m and n, a group G satisfies the law if and only if the power subgroups G(m) and G(n) b...

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

Contributors

Department:
University of Oxford
Role:
Supervisor
Department:
University of Oxford
Role:
Examiner
Department:
Heriot-Watt University
Role:
Examiner
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Funding agency for:
Gardam, G
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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