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SUMMARY:Embedding theorems\, torsion\, and quotients for groups. - Maurice
  Chiodo (University of Cambridge)
DTSTART:20161014T124500Z
DTEND:20161014T140000Z
UID:TALK68558@talks.cam.ac.uk
CONTACT:Maurice Chiodo
DESCRIPTION:How difficult is it to compute if a group contains inversions?
  What are obstructions to computing invariants related to torsion in group
 s? What can we say about groups with infinite `torsion length' (the minimu
 m number of times one needs to `kill the torsion' in a group to get a tors
 ion-free group)? What sort of torsion properties are preserved by standard
  embedding theorems?\n\nI'll discuss some recent results relating to these
 . In particular\, I'll explain how the Higman Embedding Theorem preserves 
 both torsion length and the set of torsion orders\, how we can construct a
  finitely presented C'(1/6) group with infinite torsion length\, how we ca
 n kill off subsets of torsion orders in groups\, and how we can get `unive
 rsal' finitely presented groups which exclude certain sets of torsion orde
 rs.
LOCATION:CMS\, MR13
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