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SUMMARY:Aleksandra Kwiatkowska (U of Wrocław)
DTSTART:20210114T190000Z
DTEND:20210114T200000Z
DTSTAMP:20260423T021157Z
UID:OLS/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OLS/30/">Sim
 plicity of the automorphism groups of countable homogeneous structures</a>
 \nby Aleksandra Kwiatkowska (U of Wrocław) as part of Online logic semina
 r\n\n\nAbstract\nThe program of understanding the normal subgroup structur
 e of groups that arise as automorphism groups of countable structures date
 s back at least to the ’50s\, when Higman described all proper normal su
 bgroups of the automorphism group of rationals (Q\,<). In recent several y
 ears Tent-Ziegler\, following the work of Macpherson-Tent\, proved simplic
 ity for many automorphism groups of countable graphs and metric spaces. In
  the talk\, we prove simplicity for the automorphism groups of order and t
 ournament expansions of homogeneous structures such as the bounded Urysohn
  metric space and the random graph. In particular\, we show that the autom
 orphism group of the linearly ordered random graph is a simple group. This
  is joint work with Filippo Calderoni and Katrin Tent.\n
LOCATION:https://researchseminars.org/talk/OLS/30/
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