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SUMMARY:Profinite Recognition of Amalgamated Factors - Julian Wykowski\, U
 niversity of Cambridge
DTSTART:20231020T124500Z
DTEND:20231020T134500Z
UID:TALK204355@talks.cam.ac.uk
CONTACT:Macarena Arenas
DESCRIPTION:Can one detect amalgamated factors in the finite quotients of 
 a group? In this talk\, we will find out that the answer is “yes” for 
 virtually free groups. I will introduce the theory of profinite groups act
 ing on profinite trees and present a profinite subgroup accessibility resu
 lt which connects graph of profinite groups decompositions to profinite gr
 oup cohomology. I will then use this result\, together with an algebraic r
 esult of Garrido—Jaikin-Zapirain and some Bass—Serre theoretic manipul
 ations\, to sketch the proof that amalgamated factors of finitely generate
 d virtually free groups over finite amalgamation are always visible in the
  finite quotients of the ambient group.
LOCATION:MR13
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