Thesis

### Subdegree growth rates of infinite primitive permutation groups

Abstract:

If G is a group acting on a set Ω, and α, β ∈ Ω, the directed graph whose vertex set is Ω and whose edge set is the orbit (α, β)G is called an orbital graph of G. These graphs have many uses in permutation group theory. A graph Γ is said to be primitive if its automorphism group acts primitively on its vertex set, and is said to have connectivity one if there is a vertex α such th...

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### Authors

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Institution:
University of Oxford
Department:
Mathematical and Physical Sciences Division

#### Contributors

Role:
Supervisor
Role:
Supervisor
Publication date:
2005
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Barcode:
603828444
URN:
uuid:1baa0e15-363a-4163-b21b-59fcd62d210b
Local pid:
td:603828444
Language:
English
Subjects: