# Thesis

## Symmetries of free and right-angled Artin groups

Abstract:

The objects of study in this thesis are automorphism groups of free and right-angled Artin groups. Right-angled Artin groups are defined by a presentation where the only relations are commutators of the generating elements. When there are no relations the right-angled-Artin group is a free group and if we take all possible relations we have a free abelian group.

We show that if no finite index subgroup of a group $G$ contains a normal subgroup that maps onto $mathbb{Z}$, then every h...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Corpus Christi College
Role:
Author

#### Contributors

Role:
Supervisor
Publication date:
2012
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
Language:
English
Keywords:
Subjects:
UUID:
uuid:b856e2b5-3689-472b-95c1-71b5748affc9
Local pid:
ora:6499
Deposit date:
2012-10-08