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SUMMARY:A dependence theorem for free groups - Lars Louder (UCL)
DTSTART:20171110T134500Z
DTEND:20171110T150000Z
UID:TALK95413@talks.cam.ac.uk
CONTACT:Maurice Chiodo
DESCRIPTION:Lyndon's theorem that a commutator in a free group is not a pr
 oper power\, Magnus' Freiheitssatz\, Wise's W-cycles conjecture\, Stalling
 s' theorem that injections of free groups inducing injections on\nabeliani
 zation are injective on the set of conjugacy classes\, and Baumslag's theo
 rem on adjoining roots to subgroups of free groups\, are all special cases
  of a single dependence theorem. The simplest new case covered resembles t
 he Borromean rings. As a corollary there is a new family of one-relator gr
 oups without Baumslag-Solitar subgroups. This is joint work with Henry Wil
 ton.
LOCATION:CMS\, MR13
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