Special subgroups of Bianchi groups

@inproceedings{Chu2017SpecialSO,
  title={Special subgroups of Bianchi groups},
  author={Michelle Chu},
  year={2017}
}
  • Michelle Chu
  • Published 2017
  • Mathematics
  • We determine C-special subgroups of the Bianchi groups of index bounded above by 120 by effectivising the arguments of Agol-Long-Reid. These subgroups are congruence of level 2 or 4 and retract to the free group on two generators. As a consequence, we find a C-special 20-sheeted cover of the figure-eight knot complement. We also determine C-special congruence subgroups for a family of cocompact arithmetic Kleinian groups. 

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