Symmetries of free and right-angled Artin groups

Thesis

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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Authors: Wade, R

• Publication date: 2012
• Type of award: DPhil
• Level of award: Doctoral
• Awarding institution: Oxford University, UK
• Language: English
• Keywords: partially-commutative groups; Right-angled Artin groups; graph groups; automorphism groups of free groups
• Subjects: Group theory and generalizations (mathematics); Mathematics