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SUMMARY:Finiteness properties of simple groups
DTSTART:20181101T150000
DTEND:20181101T160000
DTSTAMP:20260407T114353Z
UID:cee17ac4c63edac05d47da0384eb9187f6eea60a7e2199fa6ae80e8b
CATEGORIES:Conferences - Seminars
DESCRIPTION:Rachel Skipper\, Gottingen and SUNY Binghamton.\nA group is sa
 id to be of type $F_n$ if it admits a classifying space with compact $n$-s
 keleton. We will consider the class of R\\"{o}ver-Nekrachevych groups\, a 
 class of groups built out of self-similar groups and Higman-Thompson group
 s\, and use them to produce a simple group of type $F_{n-1}$ but not $F_n$
  for each $n$. These are the first known examples for $n\\geq 3$.\nAs a co
 nsequence\, we find the second known infinite family of quasi-isometry cla
 sses of finitely presented simple groups\, the first is due to Caprace and
  R\\'{e}my.  This is a joint work with Stefan Witzel and Matthew C. B. Za
 remsky.
LOCATION:MA A1 10 https://plan.epfl.ch/?room=MAA110
STATUS:CONFIRMED
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