A presentation for the subgroup of compressed conjugating automorphisms of a partially commutative group
- Resource Type
- article
- Authors
- Abdulsatar AL-Juburie; Andrew Duncan
- Source
- International Journal of Group Theory, Vol 8, Iss 3, Pp 33-42 (2019)
- Subject
- Partially commutative groups
Right-angled Artin groups
Automorphisms of groups
Mathematics
QA1-939
- Language
- English
- ISSN
- 2251-7650
2251-7669
Let $G_{Gamma}$ be a partially commutative group. We find a finite presentation for the subgroup $Conjv(G_{Gamma})$ of compressed vertex conjugating automorphisms of the automorphism group $Aut(G_{Gamma})$ of $G_{G}$. We have written GAP packages which compute presentations for $Aut(G_{Gamma})$ and its subgroups $Conj(G_{Gamma})$ and $Conjv(G_{Gamma})$.