Congruence RFRS towers
- Resource Type
- Working Paper
- Authors
- Agol, Ian; Stover, Matthew
- Source
- Subject
- Mathematics - Geometric Topology
Mathematics - Group Theory
Mathematics - Number Theory
- Language
We describe a criterion for a real or complex hyperbolic lattice to admit a RFRS tower that consists entirely of congruence subgroups. We use this to show that certain Bianchi groups $\mathrm{PSL}(\mathcal{O}_d)$ are virtually fibered on congruence subgroups, and also exhibit the first examples of RFRS K\"ahler groups that are not a subgroup of a product of surface groups and abelian groups.
Comment: With an appendix by Mehmet Haluk \c{S}eng\"un