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SUMMARY:The compressed word problem in relatively hyperbolic groups - Sara
 h Rees (Newcastle University)
DTSTART:20210430T124500Z
DTEND:20210430T134500Z
UID:TALK155899@talks.cam.ac.uk
CONTACT:76015
DESCRIPTION:I'll talk about recent work with Derek Holt to prove the follo
 wing result:\n\nThe compressed word problem for a group that is hyperbolic
  relative to a finite collection of free abelian subgroups is soluble in p
 olynomial time.\n\nThis result extends the work of Lohrey and Schleimer pr
 oving the same results for free and hyperbolic groups.\nOur proof follows 
 the same strategy\, but has to work harder in order to relate the geometri
 es of two different\nCayley graphs\, only one of which is locally finite. 
 I'll give some brief background to the compressed word problem\nand to to 
 relatively hyperbolic groups\, and attempt to give the flavour of the some
 what technical proof.
LOCATION:Zoom https://maths-cam-ac-uk.zoom.us/j/95208706709.
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