NIP and definably amenable groups

  • Pierre Simon

    University of California, Berkeley, USA
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This text is an introduction to de finably amenable NIP groups. It is based on a number of papers, mainly [6], [7] and [4]. This subject has two origins, the fi rst one is the theory of stable groups and in particular generic types, which were fi rst defi ned by Poizat (see [12]) and have since played a central role throughout stability theory. Later, part of the theory was generalized to groups in simple theories, where generic types are de ned as types, none of whose translates forks over the empty set.