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SUMMARY:Dehn's problems and Houghton's groups - Charles Cox Southampton Un
 iversity
DTSTART:20141031T150000Z
DTEND:20141031T160000Z
UID:TALK55991@talks.cam.ac.uk
CONTACT:Julian Brough
DESCRIPTION:Deciding whether or not two elements of a group are conjugate 
 might seem like a trivial problem. However\, there exist finitely presente
 d groups where this question is undecidable: there is no algorithm to outp
 ut yes or no for any two elements chosen. In this talk Houghton groups (a 
 family of groups all having solvable conjugacy problem) will be introduced
  as will the idea of twisted conjugacy: a generalisation of the conjugacy 
 problem where an automorphism is also given. This will be our main tool in
  answering whether finite extensions and finite index subgroups of any Hou
 ghton group have solvable conjugacy problem.
LOCATION:CMS\, MR4
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