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Durham e-Theses
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Complex Hyperbolic Triangle Groups

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
Thesis Date:2022
Copyright:Copyright of this thesis is held by the author
Deposited On:13 Jul 2022 10:30

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