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Keywords:

  • Free products of groups;
  • superstability;
  • connected groups;
  • MSC (2010) Primary: 20E06;
  • Secondary: 03C45;
  • 03C60;
  • 20A05

Abstract

We give two slight generalizations of results of Poizat about elementary theories of groups obtained by free constructions. The first-one concerns generic types and the non-superstability of such groups in many cases. The second-one concerns the connectedness of most free products of groups without amalgamation.