PROMDUANG, WANCHALERM (2022) Complex Hyperbolic Triangle Groups. Doctoral thesis, Durham University.
Consider a group generated by
three complex hyperbolic reflections that braid with lengths (2,4,4). With even braidings, there can be a variety of different generators' orders. We show that the (2,4,4) groups can be identified with Pasquinelli's groups, and thus, are commensurable with Deligne-Mostow groups.
After we have the group structures, we consider a subgroup of the form (r,4,4;4) for the sake of geometric
construction as we want to apply Deraux-Parker-Paupert algorithm on this group to construct its fundamental domain.
|Item Type:||Thesis (Doctoral)|
|Award:||Doctor of Philosophy|
|Faculty and Department:||Faculty of Science > Mathematical Sciences, Department of|
|Copyright:||Copyright of this thesis is held by the author|
|Deposited On:||13 Jul 2022 10:30|