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SUMMARY:Residual properties of graphs of p-groups - Gareth Wilkes (Cambrid
 ge)
DTSTART:20181109T134500Z
DTEND:20181109T144500Z
UID:TALK110764@talks.cam.ac.uk
CONTACT:Richard Webb
DESCRIPTION:When groups may be built up as graphs of 'simpler' groups\, it
  is often of interest to study how good residual finiteness properties of 
 simpler groups can imply residual properties of the whole. The essential c
 ase of this theory is the study of residual properties of finite groups. I
 n this talk I will discuss the question of when a graph of finite p-groups
  is residually p-finite\, for p a prime. I will describe the previous theo
 rems in this area for one-edge and finite graphs of groups\, and their met
 hod of proof. I will then state my recent generalisation of these theorems
  to potentially infinite graphs of groups\, together with an alternative a
 nd more natural method of proof. Finally I will briefly describe a usage o
 f these results in the study of accessibility -- namely the existence of a
  finitely generated inaccessible group which is residually p-finite.
LOCATION:CMS\, MR13
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