8 papers
Normalizers of lattices and isometry groups of arithmetic hyperbolic manifolds
Mikhail Belolipetsky, Tam Cheetham-West
We prove that every arithmetic lattice in PSL and every arithmetic lattice of the simplest type in PO, , is the normalizer of arbitrarily many of its…
Taut polynomials from finite quotients of fibered hyperbolic 3-manifold groups
Tam Cheetham-West, Biao Ma, Jun Ueki +1
We prove that the finite quotients of a fibered hyperbolic 3-manifold group detect the taut polynomials of fibered faces of the Thurston norm balls, whenever the monodromy map is f…
Detecting embedded surfaces using finite quotients
Tam Cheetham-West, Khanh Le
We give conditions on a Haken hyperbolic rational homology three sphere that imply that any other 3-manifold with profinitely equivalent fundamental group must also be Haken. In th…
Profinite rigidity for two-bridge links and 3-tangle Montesinos links
Tamunonye Cheetham-West, Xiaoyu Xu
For any two-bridge link or 3-tangle Montesinos link (including knot), this paper proves that is profinitely rigid among the fundamental groups of compa…
Finite covers and strict boundary slopes of cusped hyperbolic 3-manifolds
Tamunonye Cheetham-West, Youheng Yao
We prove that if two cusped hyperbolic -manifolds admit a regular isomorphism between the profinite completions of their fundamental groups, then they share the same -polynom…
Determining knot groups by finite quotients
Tamunonye Cheetham-West, Alan W. Reid
We prove that hyperbolic 2-bridge knots are determined amongst all compact 3-manifolds by the profinite completions of their knot groups.