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SUMMARY:Gareth Wilkes (Cambridge)
DTSTART:20220630T140500Z
DTEND:20220630T145500Z
DTSTAMP:20260423T021100Z
UID:GaTO/66
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/66/">Re
 sidual properties of graphs of \\(p\\)-groups</a>\nby Gareth Wilkes (Cambr
 idge) as part of Geometry and topology online\n\nLecture held in Room B3.0
 3 in the Zeeman Building\, University of Warwick.\n\nAbstract\n<p>\n      
   When groups may be built up as graphs of\n        'simpler' groups\, it 
 is often of interest to study how good\n        residual finiteness proper
 ties of the simpler groups can imply\n        residual properties of the w
 hole.  The essential case of this\n        theory is the study of residual
  properties of finite groups.\n        In this talk I will discuss the que
 stion of when a graph of\n        finite \\(p\\)-groups is residually \\(p
 \\)-finite\, for \\(p\\) a\n        prime.  I will describe the previous t
 heorems in this area for\n        one-edge and finite graphs of groups\, a
 nd their method of\n        proof.  I will then state a generalisation of 
 these theorems to\n        potentially infinite graphs of groups\, togethe
 r with an\n        alternative and perhaps more natural method of proof.  
 Finally\n        I will briefly describe a usage of these results in the s
 tudy\n        of accessibility—namely the existence of a finitely genera
 ted\n        inaccessible group which is residually \\(p\\)-finite.\n     
  </p>\n
LOCATION:https://researchseminars.org/talk/GaTO/66/
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