Two remarks on elementary theories of groups obtained by free constructions
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.
free products of groups superstability connected groups msc (2010) primary: 20e06 secondary: 03c45 03c60 20a05