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SUMMARY:On profinite properties of free-by-cyclic groups - Monika Kudlinsk
 a (Oxford)
DTSTART:20230428T124500Z
DTEND:20230428T134500Z
UID:TALK200071@talks.cam.ac.uk
CONTACT:76015
DESCRIPTION:A central question in Geometric Group Theory is to determine h
 ow much algebraic information is encoded in the set of finite quotients of
  a given group. Much work has been done towards solving this problem for f
 undamental groups of 3-manifolds. In this talk\, we will focus our attenti
 on on a related family of groups known as free-by-cyclic groups\, which ha
 ve natural connections with 3-manifolds. We will see that many properties 
 of free-by-cyclic groups are invariants of their profinite completion. As 
 a consequence\, we obtain various profinite rigidity results\, including t
 he almost profinite rigidity of generic free-by-cyclic groups amongst the 
 class of all free-by-cyclic groups. This is based on joint work with Sam H
 ughes. 
LOCATION:MR13
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